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Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors
| Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (ix, 486 pages) : illustrations |
| Disciplina | 519.3 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Mathematical optimization
Teories no lineals Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61732-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Friction Models in the Framework of Set-Valued and ConvexAnalysis -- 1 Introduction -- 2 The Approach of Moreau and Panagiotopoulos -- 3 Models of Frictions -- 4 Stability Analysis of a Two-Degree-of-Freedom Mechanical System -- References -- A Survey on Markov's Theorem on Zeros of Orthogonal Polynomials -- 1 Introduction -- 2 Main Result -- 3 Markov's Theorem and Its Descendants -- 4 Some Applications -- 4.1 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.4 -- 4.2 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.5 -- 4.3 Monotonicity of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- 4.4 Sharp Monotonicity Properties of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.3 -- 4.5 Monotonicity of the Zeros of Classical Discrete Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- References -- A Review of Two Network Curvature Measures -- 1 Introduction -- 2 Gromov-Hyperbolic Curvature -- 2.1 Topological Characteristics of Gromov-Hyperbolicity Measure -- 2.2 Gromov Curvature of Real-World Networks -- 2.3 Efficient Computation of Gromov Curvature -- 2.4 Algorithmic Implications of Small Gromov Curvature -- 2.5 Statistical Validation of Gromov Curvature via ``Scaled'' Version -- 3 Geometric Curvature -- 3.1 Basic Topological Concepts -- 3.2 Topological Association of Networks with a Complex -- 3.3 Defining Geometric Curvatures for Elementary Components of Given Graph -- 1-Complex-Based Geometric Curvature for a Pair of Nodes -- 2-Complex-Based Geometric Curvature for a Pair of Nodes -- Higher-Dimensional Geometric Curvature for a Pair of Nodes -- 3.4 Overall (Scalar) Curvature Value for a Network.
3.5 Computation of Geometric Curvatures -- 3.6 Real-World Networks and Geometric Curvatures -- 3.7 Statistical Validations for all Curvature Measures -- 4 Two Applications of Curvature Analysis of Graphs -- 4.1 Detecting Critical Elementary Components of Networks -- 4.2 Detecting Change Points in Dynamic Networks -- 5 Conclusion -- References -- A Frictional Dynamic Thermal Contact Problem with Normal Compliance and Damage -- 1 Introduction -- 2 The Contact Problem -- 3 Proof of Theorem 1 -- 4 Analysis of a Numerical Scheme -- 5 Numerical Computations -- References -- Mixed Concave-Convex Sub-Superlinear Schrödinger Equation: Survey and Development of Some New Cases -- 1 Introduction -- 2 The Stationary Problem -- 2.1 Mixed Sub-linear Defocusing Case 0< -- p< -- q< -- 1 -- 2.2 The Defocusing Sub-linear Case p=1, 0< -- q< -- 1 -- 2.3 The Mixed Sub-linear/Linear Case 0< -- p< -- 1 and q=1 -- 2.4 A Mixed Sub-linear Defocusing Case o< -- q< -- p< -- 1 -- 2.5 A Mixed Sub-linear/Super-Linear Defocusing Case 0< -- p< -- 1< -- q -- 2.6 Mixed Super-Linear/Sub-linear Defocusing Case 0< -- q< -- 1< -- p -- 2.7 Mixed Linear/Super-Linear Defocusing Case p=1 and q> -- 1 -- 2.8 Mixed Super-Linear/Linear Defocusing Case q=1 and p> -- 1 -- 2.9 Mixed Super-Linear/Super-Linear Defocusing Case 1< -- p< -- q -- 2.10 Mixed Super-Linear/Super-Linear Defocusing Case 1< -- q< -- p -- 3 Some Graphical Illustrations -- 3.1 Example 1: The Mixed Sub-linear Case 0< -- p< -- q< -- 1 -- 3.2 Example 2: The Mixed Linear/Sub-linear Case p=1 and 0< -- q< -- 1 -- 3.3 Example 3: The Mixed Sub-linear/Sub-linear Case 0< -- q< -- p< -- 1 -- 3.4 Example 4: The Mixed Sub-linear/Linear Case 0< -- p< -- 1 and q=1 -- 4 Conclusion -- References -- An Optimization Model for a Network of Organ Transplants with Uncertain Availability. 1 Introduction -- 2 The Mathematical Model -- 3 Variational Inequality -- 4 Numerical Examples -- 4.1 Example 1 -- Example 1.2 -- 4.2 Example 2 -- 5 Conclusions -- References -- Algebraic Based Techniques as Decision Making Tools -- 1 Introduction -- 2 Preliminaries -- 3 Median Algebras -- 4 Median Homomorphisms as Consensus Procedures -- 4.1 Consensus Over Trees -- 4.2 Consensus Over Hypercube-Free Median Algebras -- 4.3 Consensus Over Weak Orders -- 5 Application -- 6 Conclusions -- References -- Norm Estimates for the Composite Operators -- 1 Introduction -- 2 Local Integrability -- 3 Global Integrability -- References -- A Variational Inequality Based Stochastic Approximation for Inverse Problems in Stochastic Partial Differential Equations -- 1 Introduction -- 2 Stochastic Approximation for Variational Inequalities -- 3 Stochastic Approximation for Inverse Problems -- 3.1 Optimization Formulation of the Inverse Problem -- 3.2 Discrete Formulas -- 4 Computational Experiments -- 5 Concluding Remarks -- References -- An Iterative Method for a Common Solution of Split Generalized Equilibrium Problems and Fixed Points of a Finite Family of Nonexpansive Mapping -- 1 Introduction -- 2 Preliminaries -- 3 The Proposed Method and Some Properties -- 4 Numerical Example -- 5 Conclusions -- References -- Periodic Solutions Around the Out-of-Plane Equilibrium Points in the Restricted Three-Body Problem with Radiation and Angular Velocity Variation -- 1 Introduction -- 2 Equations of Motion -- 3 Out-of-Plane Equilibrium Points -- 4 Spatial Periodic Orbits Around the Out-of-Plane Equilibria -- 4.1 The Analytical Approximation -- 4.2 The Numerical Approximation -- 5 Discussion and Conclusion -- References -- Optimal Lot Size with Partial Backlogging Under the Occurrence of Imperfect Quality Items -- 1 Introduction -- 2 Preliminaries -- 2.1 Assumptions. 2.2 Notation -- 3 Model Formulation and Optimal Policy Determination -- 3.1 Cycle Length -- 3.2 Total Profit Formulation -- 3.3 Optimal Policy -- 3.4 Special Cases -- 4 Numerical Comparisons -- 5 Cost Penalty of Employing the EOQ with Partial Backorders -- 6 Conclusions -- Appendix -- References -- Error Analysis Through Energy Minimization and Stability Properties of Exponential Integrators -- 1 Introduction and Motivation -- 2 Exponential Integrators for Hamiltonian Systems -- 3 High-Order Exponential Variational Integrators -- 4 Stability Analysis of Exponential Variational Integrators -- 4.1 Exponential Variational Integrator for S=2 -- 4.2 Exponential Variational Integrator for S=3 -- 5 Error Analysis from Testing the Variational Integrators in Hamiltonian Systems -- 6 Conclusions -- References -- A Degenerate Kirchhoff-Type Inclusion Problem with NonlocalOperator -- 1 Introduction -- 2 Mathematical Background -- 3 Statement of Main Result -- 4 Truncated Problems -- 5 Mountain-Pass Geometry -- 6 Palais-Smale Condition -- 7 Proof of Theorem 2 and Example -- References -- Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework -- 1 Introduction -- 2 Literature Review and Our Contributions -- 3 The Generalized Nash Equilibrium Network Model for Medical Supplies Under Stochastic Demand -- 3.1 Illustrative Examples -- 4 Qualitative Properties and the Algorithm -- The Modified Projection Method -- 5 Numerical Examples -- 6 Summary and Conclusions and Suggestions for Future Research -- References -- Relative Strongly Exponentially Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References -- Properties of Exponentially m-Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References. Natural vs. Artificial Topologies on a Relativistic Spacetime -- 1 Motivation: The Topologization Problem -- 2 What Is (or Should be) the Role of Spacetime Topology? -- 3 Singularities, Naked Singularities and a Kind of Unexpected Gravitational Time Delay Effects -- 4 A Duality Between Timelike-Spacelike Events: Between ``Chronos'' and ``Choros'' -- 5 Questions -- References -- On the Approximation of Monotone Variational Inequalities in Lp Spaces with Probability Measure -- 1 Introduction -- 2 Regularization of Random Variational Inequalities -- 2.1 Random Variational Inequalities in Probabilistic Lebesgue Spaces -- 2.2 A Functional Approximation Scheme for the Random Variational Inequality -- 2.3 Implementation -- 3 Application to the Traffic Network Equilibrium Problem with Random Data -- 3.1 An Outline of the Traffic Network Equilibrium Problem -- 3.2 The Stochastic VI Formulation of the Traffic Network Equilibrium Problem -- 3.3 Numerical Experiments -- References -- Operator Factorization and Solution of Second-Order Nonlinear Difference Equations with Variable Coefficients and Multipoint Constraints -- 1 Introduction -- 2 Factorization Method -- 3 Second-Order Nonlinear Difference Equations -- 3.1 Type I -- 3.2 Type II -- References -- An Invitation to the Study of a Uniqueness Problem -- Reference -- Schrödinger Equations in Nonlinear Optics -- 1 Introduction -- 2 Some Lemmas -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- References -- Ekeland Variational Principles in 2-Local Branciari Metric Spaces -- 1 Introduction -- 2 Dependent Choice Principles -- 3 Conv-Cauchy Structures -- 4 Local and 2-Local Branciari Metric Spaces -- 5 Main Result -- 6 Equivalence Statements -- References. |
| Record Nr. | UNISA-996466563803316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Nonlinear analysis, differential equations, and applications / / Themistocles M. Rassias, editor
| Nonlinear analysis, differential equations, and applications / / Themistocles M. Rassias, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (791 pages) |
| Disciplina | 515.75 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Functional equations
Equacions funcionals Equacions diferencials Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-72563-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- On Compound Superquadratic Functions -- 1 Introduction -- 2 Refinements of Jensen's Inequality via Compound Functions -- 3 The Quasi-Mean Ff( x,λ) -- References -- Best Hyers-Ulam Stability Constants on a Time Scale with Discrete Core and Continuous Periphery -- 1 Introduction -- 2 Time Scale with Discrete Core and Continuous Periphery -- 3 Best Constants for First-Order Equations with Constant Complex Coefficient -- 4 Connection with h-Difference Equations in the Case |1+hλ|> -- 1 -- 5 Conclusion and Future Directions -- References -- Invariance Solutions and Blow-Up Property for Edge Degenerate Pseudo-Hyperbolic Equations in Edge Sobolev Spaces -- 1 Introduction -- 2 Edge Sobolev Spaces -- 3 Some Auxiliary Results -- 4 Invariance of the Solutions -- 5 Global Existence and Finite-Time of the Solutions -- References -- ϕ4 Solitons in Kirchhoff Wave Equation -- 1 Introduction -- 2 SSB in ϕ4 Scalar Field Theory: The Kink Solitons -- 3 Kirchhoff Wave Function, Energy and Potential -- 4 The Kpd Produced from Classical Field Theory -- 5 SSB in the Kpd -- 6 Conclusions -- Appendix: Estimation of the Potential Density U(ϕ) -- References -- Estimates for Lipschitz and BMO Norms of Operators on Differential Forms -- 1 Introduction -- 2 Local Poincaré-Type Inequalities -- 3 Estimates for BMOs and locLipαs Norms -- 4 Applications -- References -- Application of Boundary Perturbations on Medical Monitoring and Imaging Techniques -- 1 Introduction -- 1.1 Boundary Perturbations. A Short Introduction -- 2 Mathematical Formulation of Medical Monitoring Techniques. Electroencephalography and Magnetoencephalography -- 2.1 The Influence of Geometric Variations on the Forward Problem -- 2.1.1 EEG -- 2.1.2 MEG -- 2.2 The Influence of Geometric Variations on the Inversion Algorithm -- 2.2.1 EEG -- 2.2.2 MEG -- 3 Example -- 3.1 EEG.
3.2 MEG -- 4 Conclusions and Discussion -- References -- Poynting-Robertson and Oblateness Effects on the Equilibrium Points of the Perturbed R3BP: Application on Cen X-4 Binary System -- 1 Introduction -- 2 Equations of Motion -- 3 Existence and Positions of Equilibrium Points -- 4 Stability of the Non-collinear Equilibrium Points -- 5 Numerical Application -- 6 Discussion and Conclusion -- References -- Localization and Perturbation of Complex Zeros of Solutions to Second Order Differential Equations with Polynomial Coefficients. A Survey -- 1 Introduction -- 2 Solution Estimates for ODEs -- 3 Singular Values of Compact Operators -- 4 Bounds for Zeros of Entire Functions via Taylor Coefficients -- 5 Bounds for Sums and Products of Zeros of an Entire Function via Its Order -- 6 Sums and Products of Zeros of Solutions to Homogeneous ODEs with Polynomial Coefficients -- 7 Applications of Theorem 3 -- 8 A Perturbation Bound for the Zeros of Entire Functions in Terms of Taylor Coefficients -- 9 Proof of Theorem 4 -- 10 A Perturbation Bound for the Zeros of an Entire Function via Its Order -- 11 An Estimate for the Difference of Two Solutions -- 12 Perturbations of the Zeros of Solutions to ODEs -- 13 Example to Theorem 6 -- References -- Dynamics of a Higher-Order Ginzburg-Landau-Type Equation -- 1 Introduction -- 2 Limit Set and Collapse -- 2.1 Existence of the Limit Set -- 2.2 Conditions for Collapse -- 3 Soliton Dynamics: Perturbative Approach -- 3.1 Perturbation Theory for Bright Solitons (s=-1) -- 3.2 Perturbation Theory for Dark Solitons (s=+1) -- 3.3 Solitons and Shock Waves in an Effective KdV-Burgers Picture -- References -- The Role of Differential Equations in Applied Statistics -- 1 Introduction -- 2 Theoretical Framework for the Nonlinear Design -- 3 Growth Curves -- 4 Differential Equations in Probability -- 4.1 Brownian Motion. 4.2 Pure Birth Process -- 4.3 The Birth-and-Death Process -- 5 Discussion -- Appendix 1 -- Appendix 2: Introduction to Heat Equation -- References -- Geometric Derivation and Analysis of Multi-Symplectic Numerical Schemes for Differential Equations -- 1 Introduction and Motivation -- 2 Review of Variational Integrators -- 3 Exponential Integrators -- 3.1 Exponential High Order Variational Integrators -- 3.2 Frequency Estimation for Mass Points Motion in Three Dimensions -- 4 Triangle and Square Discretization -- 4.1 Triangle Discretization -- 4.2 Square Discretization -- 5 Numerical Examples Using Triangle Discretization -- 5.1 Linear Wave Equation -- 5.2 Laplace Equation -- 5.3 Poisson Equation -- 6 Numerical Examples Using Square Discretization -- 6.1 Klein-Gordon -- 7 Analysis of the Proposed Schemes -- 7.1 Dispersion Analysis -- 7.2 Convergence Experiments -- 8 Summary and Conclusions -- Appendix -- References -- Non-radial Solutions of a Supercritical Equation in Expanding Domains: The Limit Case -- 1 Introduction -- 2 Notations and Some Background Material -- 3 Preliminary Results -- 4 Solution of the Problem (P) -- References -- Financial Contagion in Interbank Networks: The Case of Erdős -Rényi Network Model -- 1 Introduction -- 2 Related Literature -- 3 Erdős-Rényi Random Graph Model -- 3.1 The Mathematical Description of the Contagion Model -- 3.2 The Interbank Network -- 3.3 Shock Propagation and Contagion Dynamics -- 3.4 Monte Carlo simulations -- 4 Main Findings -- 4.1 Computer Experiments -- 4.2 Simulation Results -- 5 Conclusions -- References -- Higher Order Strongly m-convex Functions -- 1 Introduction -- 2 m-Convex Functions -- 3 Strongly m-Convex Functions -- 4 Properties of Strongly m-Convex Functions -- 5 Applications -- Conclusion -- References -- Characterizations of Higher Order Strongly Generalized Convex Functions. 1 Introduction -- 2 Formulations and Basic Facts -- 3 Generalized Convex Functions -- 4 Higher Order Strongly Generalized Convex Functions -- 5 Applications -- 5.1 Generalized Variational Inequalities -- Conclusion -- References -- A Note on Generalized Nash Games Played on Networks -- 1 Introduction -- 2 Network Games -- 2.1 Elements of Graph Theory and Game Classes -- 2.2 The Linear-Quadratic Model -- 3 Generalized Nash Equilibrium Problems on Networks -- 3.1 An Overview of GNEPs and the Variational Inequality Approach to their Solution -- 3.2 A Linear-Quadratic Network GNEP -- 4 Numerical Experiments -- 5 Conclusions and Further Research Perspectives -- References -- Piecewise Polynomial Inversion of the Radon Transform in Three Space Dimensions via Plane Integration and Applications in Positron Emission Tomography -- 1 Introduction -- 2 The Radon Transform in Two Space Dimensions -- 3 The Radon Transform in Three Space Dimensions -- 4 The Inversion of the Radon Transform in Three Space Dimensions via Plane Integration -- 5 Numerical Implementation of the Inversion of the Radon Transform in Three Space Dimensions via Piecewise Cubic Polynomials -- References -- Factorization and Solution of Linear and Nonlinear Second Order Differential Equations with Variable Coefficients and Mixed Conditions -- 1 Introduction -- 2 Preliminaries -- 3 Factorization Method for Linear Differential Equations -- 4 Factorization Method for Nonlinear Differential Equations -- 5 Conclusions -- References -- A General Framework for Studying Certain Generalized Topologically Open Sets in Relator Spaces -- 1 Motivations -- 2 Preliminaries -- 3 A Few Basic Facts on Relations -- 4 A Few Basic Facts on Relators -- 5 Structures Derived from Relators -- 6 Further Structures Derived from Relators -- 7 Closure Operations for Relators. 8 Some Further Theorems on the Operations and -- 9 Projection Operations for Relators -- 10 Reflexive, Non-partial and Non-degenerated Relators -- 11 Topological and Quasi-Topological Relators -- 12 Proximal and Quasi-Proximal Relators -- 13 A Few Basic Facts on Filtred Relators -- 14 A Few Basic Facts on Quasi-Filtered Relators -- 15 Some Further Theorems on Topologically Filtered Relators -- 16 Some More Particular Theorems on Topologically Filtered Relators -- 17 Some Generalized Topologically Open Sets -- 18 Some Further Theorems on Generalized Topologically Open Sets -- 19 A Further Family of Generalized Topologically Open Sets -- 20 Some Further Theorems on the Family AR -- 21 Characterizations of the Family AR -- 22 Some Further Characterizations of the Family AR -- 23 Lower and Upper Nearness Relations for Sets -- 24 Some Set-Theoretic Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 25 Some Topological Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 26 Some Further Topological Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 27 Some Relation-Theoretic Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 28 Lower and Upper Nearness Closures of Families of Sets -- 29 Some Set-Theoretic Properties of the Families A and Au -- 30 Intersection Properties of the Families A and Au -- 31 Some Algebraic and Topological Properties of the Operations and u -- 32 Nearness Closures of the Families TR, TRs and TRp -- 33 Some Further Theorems on the Families TRs and TRp -- 34 Some Basic Properties of the Families TRsu and TRp -- 35 Some Further Theorems on the Closure Operation -- 36 An Illustrating Diagram and Two Related Examples -- References -- Graphical Mean Curvature Flow -- 1 Introduction -- 2 Riemannian Submanifolds -- 2.1 Notation and Conventions -- 2.2 The Pull-back Bundle. 2.3 The Second Fundamental Form. |
| Record Nr. | UNINA-9910495352803321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear analysis, differential equations, and applications / / Themistocles M. Rassias, editor
| Nonlinear analysis, differential equations, and applications / / Themistocles M. Rassias, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (791 pages) |
| Disciplina | 515.75 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Functional equations
Equacions funcionals Equacions diferencials Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-72563-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- On Compound Superquadratic Functions -- 1 Introduction -- 2 Refinements of Jensen's Inequality via Compound Functions -- 3 The Quasi-Mean Ff( x,λ) -- References -- Best Hyers-Ulam Stability Constants on a Time Scale with Discrete Core and Continuous Periphery -- 1 Introduction -- 2 Time Scale with Discrete Core and Continuous Periphery -- 3 Best Constants for First-Order Equations with Constant Complex Coefficient -- 4 Connection with h-Difference Equations in the Case |1+hλ|> -- 1 -- 5 Conclusion and Future Directions -- References -- Invariance Solutions and Blow-Up Property for Edge Degenerate Pseudo-Hyperbolic Equations in Edge Sobolev Spaces -- 1 Introduction -- 2 Edge Sobolev Spaces -- 3 Some Auxiliary Results -- 4 Invariance of the Solutions -- 5 Global Existence and Finite-Time of the Solutions -- References -- ϕ4 Solitons in Kirchhoff Wave Equation -- 1 Introduction -- 2 SSB in ϕ4 Scalar Field Theory: The Kink Solitons -- 3 Kirchhoff Wave Function, Energy and Potential -- 4 The Kpd Produced from Classical Field Theory -- 5 SSB in the Kpd -- 6 Conclusions -- Appendix: Estimation of the Potential Density U(ϕ) -- References -- Estimates for Lipschitz and BMO Norms of Operators on Differential Forms -- 1 Introduction -- 2 Local Poincaré-Type Inequalities -- 3 Estimates for BMOs and locLipαs Norms -- 4 Applications -- References -- Application of Boundary Perturbations on Medical Monitoring and Imaging Techniques -- 1 Introduction -- 1.1 Boundary Perturbations. A Short Introduction -- 2 Mathematical Formulation of Medical Monitoring Techniques. Electroencephalography and Magnetoencephalography -- 2.1 The Influence of Geometric Variations on the Forward Problem -- 2.1.1 EEG -- 2.1.2 MEG -- 2.2 The Influence of Geometric Variations on the Inversion Algorithm -- 2.2.1 EEG -- 2.2.2 MEG -- 3 Example -- 3.1 EEG.
3.2 MEG -- 4 Conclusions and Discussion -- References -- Poynting-Robertson and Oblateness Effects on the Equilibrium Points of the Perturbed R3BP: Application on Cen X-4 Binary System -- 1 Introduction -- 2 Equations of Motion -- 3 Existence and Positions of Equilibrium Points -- 4 Stability of the Non-collinear Equilibrium Points -- 5 Numerical Application -- 6 Discussion and Conclusion -- References -- Localization and Perturbation of Complex Zeros of Solutions to Second Order Differential Equations with Polynomial Coefficients. A Survey -- 1 Introduction -- 2 Solution Estimates for ODEs -- 3 Singular Values of Compact Operators -- 4 Bounds for Zeros of Entire Functions via Taylor Coefficients -- 5 Bounds for Sums and Products of Zeros of an Entire Function via Its Order -- 6 Sums and Products of Zeros of Solutions to Homogeneous ODEs with Polynomial Coefficients -- 7 Applications of Theorem 3 -- 8 A Perturbation Bound for the Zeros of Entire Functions in Terms of Taylor Coefficients -- 9 Proof of Theorem 4 -- 10 A Perturbation Bound for the Zeros of an Entire Function via Its Order -- 11 An Estimate for the Difference of Two Solutions -- 12 Perturbations of the Zeros of Solutions to ODEs -- 13 Example to Theorem 6 -- References -- Dynamics of a Higher-Order Ginzburg-Landau-Type Equation -- 1 Introduction -- 2 Limit Set and Collapse -- 2.1 Existence of the Limit Set -- 2.2 Conditions for Collapse -- 3 Soliton Dynamics: Perturbative Approach -- 3.1 Perturbation Theory for Bright Solitons (s=-1) -- 3.2 Perturbation Theory for Dark Solitons (s=+1) -- 3.3 Solitons and Shock Waves in an Effective KdV-Burgers Picture -- References -- The Role of Differential Equations in Applied Statistics -- 1 Introduction -- 2 Theoretical Framework for the Nonlinear Design -- 3 Growth Curves -- 4 Differential Equations in Probability -- 4.1 Brownian Motion. 4.2 Pure Birth Process -- 4.3 The Birth-and-Death Process -- 5 Discussion -- Appendix 1 -- Appendix 2: Introduction to Heat Equation -- References -- Geometric Derivation and Analysis of Multi-Symplectic Numerical Schemes for Differential Equations -- 1 Introduction and Motivation -- 2 Review of Variational Integrators -- 3 Exponential Integrators -- 3.1 Exponential High Order Variational Integrators -- 3.2 Frequency Estimation for Mass Points Motion in Three Dimensions -- 4 Triangle and Square Discretization -- 4.1 Triangle Discretization -- 4.2 Square Discretization -- 5 Numerical Examples Using Triangle Discretization -- 5.1 Linear Wave Equation -- 5.2 Laplace Equation -- 5.3 Poisson Equation -- 6 Numerical Examples Using Square Discretization -- 6.1 Klein-Gordon -- 7 Analysis of the Proposed Schemes -- 7.1 Dispersion Analysis -- 7.2 Convergence Experiments -- 8 Summary and Conclusions -- Appendix -- References -- Non-radial Solutions of a Supercritical Equation in Expanding Domains: The Limit Case -- 1 Introduction -- 2 Notations and Some Background Material -- 3 Preliminary Results -- 4 Solution of the Problem (P) -- References -- Financial Contagion in Interbank Networks: The Case of Erdős -Rényi Network Model -- 1 Introduction -- 2 Related Literature -- 3 Erdős-Rényi Random Graph Model -- 3.1 The Mathematical Description of the Contagion Model -- 3.2 The Interbank Network -- 3.3 Shock Propagation and Contagion Dynamics -- 3.4 Monte Carlo simulations -- 4 Main Findings -- 4.1 Computer Experiments -- 4.2 Simulation Results -- 5 Conclusions -- References -- Higher Order Strongly m-convex Functions -- 1 Introduction -- 2 m-Convex Functions -- 3 Strongly m-Convex Functions -- 4 Properties of Strongly m-Convex Functions -- 5 Applications -- Conclusion -- References -- Characterizations of Higher Order Strongly Generalized Convex Functions. 1 Introduction -- 2 Formulations and Basic Facts -- 3 Generalized Convex Functions -- 4 Higher Order Strongly Generalized Convex Functions -- 5 Applications -- 5.1 Generalized Variational Inequalities -- Conclusion -- References -- A Note on Generalized Nash Games Played on Networks -- 1 Introduction -- 2 Network Games -- 2.1 Elements of Graph Theory and Game Classes -- 2.2 The Linear-Quadratic Model -- 3 Generalized Nash Equilibrium Problems on Networks -- 3.1 An Overview of GNEPs and the Variational Inequality Approach to their Solution -- 3.2 A Linear-Quadratic Network GNEP -- 4 Numerical Experiments -- 5 Conclusions and Further Research Perspectives -- References -- Piecewise Polynomial Inversion of the Radon Transform in Three Space Dimensions via Plane Integration and Applications in Positron Emission Tomography -- 1 Introduction -- 2 The Radon Transform in Two Space Dimensions -- 3 The Radon Transform in Three Space Dimensions -- 4 The Inversion of the Radon Transform in Three Space Dimensions via Plane Integration -- 5 Numerical Implementation of the Inversion of the Radon Transform in Three Space Dimensions via Piecewise Cubic Polynomials -- References -- Factorization and Solution of Linear and Nonlinear Second Order Differential Equations with Variable Coefficients and Mixed Conditions -- 1 Introduction -- 2 Preliminaries -- 3 Factorization Method for Linear Differential Equations -- 4 Factorization Method for Nonlinear Differential Equations -- 5 Conclusions -- References -- A General Framework for Studying Certain Generalized Topologically Open Sets in Relator Spaces -- 1 Motivations -- 2 Preliminaries -- 3 A Few Basic Facts on Relations -- 4 A Few Basic Facts on Relators -- 5 Structures Derived from Relators -- 6 Further Structures Derived from Relators -- 7 Closure Operations for Relators. 8 Some Further Theorems on the Operations and -- 9 Projection Operations for Relators -- 10 Reflexive, Non-partial and Non-degenerated Relators -- 11 Topological and Quasi-Topological Relators -- 12 Proximal and Quasi-Proximal Relators -- 13 A Few Basic Facts on Filtred Relators -- 14 A Few Basic Facts on Quasi-Filtered Relators -- 15 Some Further Theorems on Topologically Filtered Relators -- 16 Some More Particular Theorems on Topologically Filtered Relators -- 17 Some Generalized Topologically Open Sets -- 18 Some Further Theorems on Generalized Topologically Open Sets -- 19 A Further Family of Generalized Topologically Open Sets -- 20 Some Further Theorems on the Family AR -- 21 Characterizations of the Family AR -- 22 Some Further Characterizations of the Family AR -- 23 Lower and Upper Nearness Relations for Sets -- 24 Some Set-Theoretic Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 25 Some Topological Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 26 Some Further Topological Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 27 Some Relation-Theoretic Properties of the Relation `3́9`42`"̇613A``45`47`"603ALnR -- 28 Lower and Upper Nearness Closures of Families of Sets -- 29 Some Set-Theoretic Properties of the Families A and Au -- 30 Intersection Properties of the Families A and Au -- 31 Some Algebraic and Topological Properties of the Operations and u -- 32 Nearness Closures of the Families TR, TRs and TRp -- 33 Some Further Theorems on the Families TRs and TRp -- 34 Some Basic Properties of the Families TRsu and TRp -- 35 Some Further Theorems on the Closure Operation -- 36 An Illustrating Diagram and Two Related Examples -- References -- Graphical Mean Curvature Flow -- 1 Introduction -- 2 Riemannian Submanifolds -- 2.1 Notation and Conventions -- 2.2 The Pull-back Bundle. 2.3 The Second Fundamental Form. |
| Record Nr. | UNISA-996466391003316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Numerical Infinities and Infinitesimals in Optimization [[electronic resource] /] / edited by Yaroslav D. Sergeyev, Renato De Leone
| Numerical Infinities and Infinitesimals in Optimization [[electronic resource] /] / edited by Yaroslav D. Sergeyev, Renato De Leone |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (372 pages) : illustrations |
| Disciplina | 519.6 |
| Collana | Emergence, Complexity and Computation |
| Soggetto topico |
Engineering mathematics
Engineering - Data processing Mathematical optimization Calculus of variations Mathematical statistics - Data processing Mathematical and Computational Engineering Applications Data Engineering Calculus of Variations and Optimization Statistics and Computing Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-93642-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A New Computational Paradigm Using Grossone-Based Numerical Infinities and Infinitesimals -- Nonlinear Optimization: A Brief Overview -- The role of grossone in Nonlinear Programming and Exact Penalty Methods. |
| Record Nr. | UNISA-996483155203316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Numerical Infinities and Infinitesimals in Optimization [[electronic resource] /] / edited by Yaroslav D. Sergeyev, Renato De Leone
| Numerical Infinities and Infinitesimals in Optimization [[electronic resource] /] / edited by Yaroslav D. Sergeyev, Renato De Leone |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (372 pages) : illustrations |
| Disciplina | 519.6 |
| Collana | Emergence, Complexity and Computation |
| Soggetto topico |
Engineering mathematics
Engineering - Data processing Mathematical optimization Calculus of variations Mathematical statistics - Data processing Mathematical and Computational Engineering Applications Data Engineering Calculus of Variations and Optimization Statistics and Computing Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-93642-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A New Computational Paradigm Using Grossone-Based Numerical Infinities and Infinitesimals -- Nonlinear Optimization: A Brief Overview -- The role of grossone in Nonlinear Programming and Exact Penalty Methods. |
| Record Nr. | UNINA-9910584599803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical methods and optimization : theory and practice for engineers / / Jean-Pierre Corriou
| Numerical methods and optimization : theory and practice for engineers / / Jean-Pierre Corriou |
| Autore | Corriou Jean-Pierre <1950-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] |
| Descrizione fisica | 1 online resource (730 pages) |
| Disciplina | 620.00151 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Engineering mathematics
Mathematical optimization Numerical analysis Anàlisi numèrica Optimització matemàtica Matemàtica per a enginyers |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030893668
9783030893651 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910520065703321 |
Corriou Jean-Pierre <1950->
|
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical methods and optimization : theory and practice for engineers / / Jean-Pierre Corriou
| Numerical methods and optimization : theory and practice for engineers / / Jean-Pierre Corriou |
| Autore | Corriou Jean-Pierre <1950-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] |
| Descrizione fisica | 1 online resource (730 pages) |
| Disciplina | 620.00151 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Engineering mathematics
Mathematical optimization Numerical analysis Anàlisi numèrica Optimització matemàtica Matemàtica per a enginyers |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030893668
9783030893651 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466561203316 |
|
Corriou Jean-Pierre <1950->
|
||
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Optimal control / / Leonid T. Ashchepkov [and three others]
| Optimal control / / Leonid T. Ashchepkov [and three others] |
| Autore | Ashchepkov Leonid T. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (252 pages) |
| Disciplina | 519.3 |
| Soggetto topico |
Mathematical optimization
Calculus of variations System theory Optimització matemàtica Càlcul de variacions Teoria de sistemes |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-91029-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910520084503321 |
|
Ashchepkov Leonid T.
|
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal control / / Leonid T. Ashchepkov [and three others]
| Optimal control / / Leonid T. Ashchepkov [and three others] |
| Autore | Ashchepkov Leonid T. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (252 pages) |
| Disciplina | 519.3 |
| Soggetto topico |
Mathematical optimization
Calculus of variations System theory Optimització matemàtica Càlcul de variacions Teoria de sistemes |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-91029-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466551703316 |
|
Ashchepkov Leonid T.
|
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Optimal control of dynamic systems driven by vector measures : theory and applications / / N.U. Ahmed, Shian Wang
| Optimal control of dynamic systems driven by vector measures : theory and applications / / N.U. Ahmed, Shian Wang |
| Autore | Ahmed N. U (Nasir Uddin) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (328 pages) |
| Disciplina | 629.8312 |
| Soggetto topico |
Control theory
Teoria de control Anàlisi de sistemes Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-82139-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910503005803321 |
|
Ahmed N. U (Nasir Uddin)
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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