Analysis and Geometry in Control Theory and its Applications [[electronic resource] /] / edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (242 p.) |
Disciplina | 515.642 |
Collana | Springer INdAM Series |
Soggetto topico |
Calculus of variations
System theory Mathematical analysis Analysis (Mathematics) Applied mathematics Engineering mathematics Control engineering Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Analysis Applications of Mathematics Control and Systems Theory |
ISBN | 3-319-06917-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Generalized Lax-Hopf formulas for Cournot Maps and Hamilton-Jacobi-McKendrick Equations, Jean-Pierre Aubin and Chen Luxi -- 2 A geometric approach to the optimal control of nonholonomic mechanical systems, Anthony Bloch, Leonardo Colombo, Rohit Gupta and David Martin de Diego -- 3 Lunar perturbation of the metric associated to the averaged orbital transfer, Bernard Bonnard, Helen Henninger and Jeremy Rouot -- 4 Conjugate times and regularity of the minimum time function with differential inclusions, Piermarco Cannarsa and Teresa Scarinci -- 5 Weak solutions for first order mean field games with local coupling, Pierre Cardaliaguet -- 6 omega-limit sets for differential inclusions, Asen L. Dontchev, Mikhail I. Krastanov and Vladimir M. Veliov -- 7 Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint, Helene Frankowska and Nikolai P. Osmolovskii -- 8 Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment, Heinz Schaettler and Urszula Ledzewicz. |
Record Nr. | UNINA-9910300256703321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Analysis and Numerics of Partial Differential Equations [[electronic resource] /] / edited by Franco Brezzi, Piero Colli Franzone, Ugo Pietro Gianazza, Gianni Gilardi |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | Milano : , : Springer Milan : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (365 p.) |
Disciplina | 515.353 |
Collana | Springer INdAM Series |
Soggetto topico |
Partial differential equations
Computer mathematics Calculus of variations Partial Differential Equations Computational Mathematics and Numerical Analysis Calculus of Variations and Optimal Control; Optimization |
ISBN |
1-283-94497-9
88-470-2592-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I A Historical Perspective -- Personal Memories -- Some Aspects of the Research of Enrico Magenes in Partial Differential Equations -- Enrico Magenes and the Dam Problem -- Inverse Problems in Electrocardiology -- Stefan Problems and Numerical Analysis -- Enrico Magenes and the Teaching of Mathematics -- List of Mathematical Works Authored or Edited by Enrico Magenes -- Part II Recent Developments -- Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below - the Compact Case -- Spaces of Finite Element Differential Forms -- A Priori Bounds for Solutions of a Nonlocal Evolution PDE -- On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems -- A Theory and Challenges for Coarsening in Microstructure -- A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation -- Analysis and Numerics of Some Fractal Boundary Value Problems -- AFEM for Geometric PDE: The Laplace-Beltrami Operator -- Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs -- Variational Formulation of Phase Transitions with Glass Formation. |
Record Nr. | UNINA-9910437877303321 |
Milano : , : Springer Milan : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Analysis and topology in nonlinear differential equations [[electronic resource] ] : a tribute to Bernhard Ruf on the occasion of his 60th birthday / / edited by Djairo G de Figueiredo, João Marcos do Ó, Carlos Tomei |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014 |
Descrizione fisica | 1 online resource (465 p.) |
Disciplina | 515.355 |
Collana | Progress in Nonlinear Differential Equations and Their Applications |
Soggetto topico |
Partial differential equations
Calculus of variations Topology Partial Differential Equations Calculus of Variations and Optimal Control; Optimization |
Soggetto genere / forma | Conference proceedings. |
ISBN | 3-319-04214-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains -- Multiplicity of Positive Solutions for an Obstacle Problem in R -- Elliptic Problems in Unbounded Cylinders -- Basic Properties of Ultra functions -- Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator -- Equivariant Bifurcation in Geometric Variational Problems -- And many more. |
Record Nr. | UNINA-9910299981303321 |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Application of mathematics and optimization in construction project management / / Hêriş Golpîra |
Autore | Golpîra Hêriş |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (261 pages) |
Disciplina | 338.47624 |
Soggetto topico |
Gestió de projectes
Indústria de la construcció Models matemàtics Construction industry Project management Mathematical optimization Calculus of variations |
Soggetto genere / forma | Llibres electrònics |
ISBN |
9783030811235
9783030811228 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- About the Editor -- 1 Overview of Project Management -- 1.1 What Are the Projects? -- 1.2 What Are Temporary Organizations? -- 1.3 Why Are Projects Created? -- 1.4 What Is Project Management? -- 1.5 Project Success/Failure -- 1.6 Project Management Main Processes -- 1.7 A Short Review of Applications of Project Management Techniques -- 1.8 Construction Project Management -- 1.9 Conclusion -- References -- 2 Optimization Models and Solution Techniques -- 2.1 Introduction -- 2.2 Project Scheduling Models -- 2.2.1 The Resource-Constrained Project Scheduling Problem -- 2.2.2 Multiple Modes -- 2.2.3 Further Generalizations of the Activity Concept -- 2.2.4 Generalized Temporal Constraints -- 2.2.5 Generalized Resource Constraints -- 2.2.6 Alternative Objectives -- 2.2.7 Multiple Objectives -- 2.2.8 Multiple Projects -- 2.2.9 Uncertainty -- 2.3 Solution Methods -- 2.3.1 Exact Algorithms -- 2.3.2 Priority Rule Heuristics -- 2.3.3 Metaheuristics -- 2.4 Developments in Resource-Constrained Project Scheduling -- 2.4.1 Publications -- 2.4.2 Trends -- 2.5 Conclusions -- References -- 3 Optimization for Project Scheduling -- 3.1 Introduction -- 3.2 The Importance of Project Scheduling -- 3.3 General Approaches in Project Scheduling Problem -- 3.4 Trends in Optimal Project Scheduling -- 3.5 Detailed Literature Review -- 3.5.1 Deterministic Approaches -- 3.5.2 Uncertain Approaches -- 3.6 Conclusion -- References -- 4 Optimization for Project Cost Management -- 4.1 Project Cost Management -- 4.2 General Approaches in Project Cost Management -- 4.2.1 The Time-Cost Relationship -- 4.2.2 The Time-Cost Tradeoff Curve -- 4.3 An Overview of the TCTP Studies -- 4.3.1 Publication Year -- 4.3.2 Publication Types and Publishing Outlets -- 4.3.3 Citation Network -- 4.3.4 Keyword co-Occurrence Network -- 4.4 The TCTP Mathematical Models.
4.4.1 The Discrete TCTP with Budget and Deadline Constraints -- 4.4.2 An Illustrative Example -- 4.5 Solution Techniques for the TCTP -- 4.5.1 Exact Methods -- 4.5.2 Non-exact Methods -- 4.6 Other Variants and Extensions -- 4.7 Concluding Remarks -- A.1 Appendix -- References -- 5 Time -Cost Trade-off Optimal Approaches -- 5.1 Introduction -- 5.2 General Approaches to Time-Cost Trade-off Problems -- 5.3 Optimal Approaches to Time-Cost Trade-off Problems -- 5.4 Conclusion -- References -- 6 Optimization for Project Quality Management -- 6.1 Definition of Project Quality Management -- 6.2 The Importance of Project Quality Management -- 6.3 General Approaches in Project Quality Management -- 6.4 Trends in Optimal Project Quality Management Models -- 6.5 Detailed Literature Review -- 6.5.1 Deterministic Single-Mode and Multimode Modeling Approaches -- 6.5.2 Nondeterministic Modeling Approaches -- 6.6 Conclusion -- References -- 7 Optimization for Construction Supply Chain Management -- 7.1 Introduction -- 7.2 Construction Supply Chian -- 7.3 Trends in Optimal Construction Supply Chain Network Design -- 7.4 Detailed Literature Review -- 7.5 Conclusion -- References -- 8 Optimization for Project Resource Management -- 8.1 The Definition of Project Resource Management -- 8.2 The Importance of Project Resource Management -- 8.3 Project Resources Classification -- 8.4 Heuristic Approaches in Project Resource Management -- 8.5 Optimal Project Resource Management Models -- 8.6 Need for a New Approach in Resource Management -- 8.7 Development of an Optimum Material Procurement Schedule -- 8.7.1 Step 1: Preparation of Construction Schedule -- 8.7.2 Step 2: Material Requirement Planning -- 8.7.3 Step 3: Development of the Optimization Model -- 8.7.3.1 Material Procurement Cost -- 8.7.3.2 Impact of the Shortage of Materials -- 8.7.3.3 Constraints. 8.7.4 Step 4: Optimization Process Using NSGA-II -- 8.7.5 Step 5: Development of Material Procurement Schedule -- 8.8 Benefits of Using the Developed Optimization Model for Material Procurement Schedule -- 8.9 Conclusion -- 8.9.1 Contribution -- 8.9.2 Limitation and Future Scope -- References -- 9 Project Stakeholder Management -- 9.1 Introduction -- 9.2 Trends in Construction Project Stakeholder Management -- 9.3 Detailed Review of the Literature on the Project Stakeholder Management -- 9.4 Conclusion and some Future Directions -- References -- 10 Optimization for Project Risk Management -- 10.1 Definition of Project Risk Management -- 10.2 The Importance of Project Risk Management -- 10.3 General Approaches in Project Risk Management -- 10.4 Optimal Project Risk Management Models -- 10.4.1 The Input Parameter Aspect -- 10.4.2 The Decision Variables Aspect -- 10.4.3 The Objective Function Aspect -- 10.4.4 The Constraints Aspect -- 10.4.5 Solution Techniques -- 10.5 Conclusions -- References -- Index. |
Record Nr. | UNISA-996466558003316 |
Golpîra Hêriş | ||
Cham, Switzerland : , : Springer, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Application of mathematics and optimization in construction project management / / Hêriş Golpîra |
Autore | Golpîra Hêriş |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (261 pages) |
Disciplina | 338.47624 |
Soggetto topico |
Gestió de projectes
Indústria de la construcció Models matemàtics Construction industry Project management Mathematical optimization Calculus of variations |
Soggetto genere / forma | Llibres electrònics |
ISBN |
9783030811235
9783030811228 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- About the Editor -- 1 Overview of Project Management -- 1.1 What Are the Projects? -- 1.2 What Are Temporary Organizations? -- 1.3 Why Are Projects Created? -- 1.4 What Is Project Management? -- 1.5 Project Success/Failure -- 1.6 Project Management Main Processes -- 1.7 A Short Review of Applications of Project Management Techniques -- 1.8 Construction Project Management -- 1.9 Conclusion -- References -- 2 Optimization Models and Solution Techniques -- 2.1 Introduction -- 2.2 Project Scheduling Models -- 2.2.1 The Resource-Constrained Project Scheduling Problem -- 2.2.2 Multiple Modes -- 2.2.3 Further Generalizations of the Activity Concept -- 2.2.4 Generalized Temporal Constraints -- 2.2.5 Generalized Resource Constraints -- 2.2.6 Alternative Objectives -- 2.2.7 Multiple Objectives -- 2.2.8 Multiple Projects -- 2.2.9 Uncertainty -- 2.3 Solution Methods -- 2.3.1 Exact Algorithms -- 2.3.2 Priority Rule Heuristics -- 2.3.3 Metaheuristics -- 2.4 Developments in Resource-Constrained Project Scheduling -- 2.4.1 Publications -- 2.4.2 Trends -- 2.5 Conclusions -- References -- 3 Optimization for Project Scheduling -- 3.1 Introduction -- 3.2 The Importance of Project Scheduling -- 3.3 General Approaches in Project Scheduling Problem -- 3.4 Trends in Optimal Project Scheduling -- 3.5 Detailed Literature Review -- 3.5.1 Deterministic Approaches -- 3.5.2 Uncertain Approaches -- 3.6 Conclusion -- References -- 4 Optimization for Project Cost Management -- 4.1 Project Cost Management -- 4.2 General Approaches in Project Cost Management -- 4.2.1 The Time-Cost Relationship -- 4.2.2 The Time-Cost Tradeoff Curve -- 4.3 An Overview of the TCTP Studies -- 4.3.1 Publication Year -- 4.3.2 Publication Types and Publishing Outlets -- 4.3.3 Citation Network -- 4.3.4 Keyword co-Occurrence Network -- 4.4 The TCTP Mathematical Models.
4.4.1 The Discrete TCTP with Budget and Deadline Constraints -- 4.4.2 An Illustrative Example -- 4.5 Solution Techniques for the TCTP -- 4.5.1 Exact Methods -- 4.5.2 Non-exact Methods -- 4.6 Other Variants and Extensions -- 4.7 Concluding Remarks -- A.1 Appendix -- References -- 5 Time -Cost Trade-off Optimal Approaches -- 5.1 Introduction -- 5.2 General Approaches to Time-Cost Trade-off Problems -- 5.3 Optimal Approaches to Time-Cost Trade-off Problems -- 5.4 Conclusion -- References -- 6 Optimization for Project Quality Management -- 6.1 Definition of Project Quality Management -- 6.2 The Importance of Project Quality Management -- 6.3 General Approaches in Project Quality Management -- 6.4 Trends in Optimal Project Quality Management Models -- 6.5 Detailed Literature Review -- 6.5.1 Deterministic Single-Mode and Multimode Modeling Approaches -- 6.5.2 Nondeterministic Modeling Approaches -- 6.6 Conclusion -- References -- 7 Optimization for Construction Supply Chain Management -- 7.1 Introduction -- 7.2 Construction Supply Chian -- 7.3 Trends in Optimal Construction Supply Chain Network Design -- 7.4 Detailed Literature Review -- 7.5 Conclusion -- References -- 8 Optimization for Project Resource Management -- 8.1 The Definition of Project Resource Management -- 8.2 The Importance of Project Resource Management -- 8.3 Project Resources Classification -- 8.4 Heuristic Approaches in Project Resource Management -- 8.5 Optimal Project Resource Management Models -- 8.6 Need for a New Approach in Resource Management -- 8.7 Development of an Optimum Material Procurement Schedule -- 8.7.1 Step 1: Preparation of Construction Schedule -- 8.7.2 Step 2: Material Requirement Planning -- 8.7.3 Step 3: Development of the Optimization Model -- 8.7.3.1 Material Procurement Cost -- 8.7.3.2 Impact of the Shortage of Materials -- 8.7.3.3 Constraints. 8.7.4 Step 4: Optimization Process Using NSGA-II -- 8.7.5 Step 5: Development of Material Procurement Schedule -- 8.8 Benefits of Using the Developed Optimization Model for Material Procurement Schedule -- 8.9 Conclusion -- 8.9.1 Contribution -- 8.9.2 Limitation and Future Scope -- References -- 9 Project Stakeholder Management -- 9.1 Introduction -- 9.2 Trends in Construction Project Stakeholder Management -- 9.3 Detailed Review of the Literature on the Project Stakeholder Management -- 9.4 Conclusion and some Future Directions -- References -- 10 Optimization for Project Risk Management -- 10.1 Definition of Project Risk Management -- 10.2 The Importance of Project Risk Management -- 10.3 General Approaches in Project Risk Management -- 10.4 Optimal Project Risk Management Models -- 10.4.1 The Input Parameter Aspect -- 10.4.2 The Decision Variables Aspect -- 10.4.3 The Objective Function Aspect -- 10.4.4 The Constraints Aspect -- 10.4.5 Solution Techniques -- 10.5 Conclusions -- References -- Index. |
Record Nr. | UNINA-9910513592303321 |
Golpîra Hêriş | ||
Cham, Switzerland : , : Springer, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applications of Evolutionary Computation in Image Processing and Pattern Recognition [[electronic resource] /] / by Erik Cuevas, Daniel Zaldívar, Marco Perez-Cisneros |
Autore | Cuevas Erik |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (284 p.) |
Disciplina | 006.3823 |
Collana | Intelligent Systems Reference Library |
Soggetto topico |
Computational intelligence
Artificial intelligence Signal processing Image processing Speech processing systems Optical data processing Calculus of variations Computational Intelligence Artificial Intelligence Signal, Image and Speech Processing Image Processing and Computer Vision Calculus of Variations and Optimal Control; Optimization |
ISBN | 3-319-26462-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Image Segmentation Based on Differential Evolution Optimization.-Motion Estimation Based on Artificial Bee Colony (ABC) -- Ellipse Detection on Images Inspired by the Collective Animal Behavior -- Template Matching by Using the States of Matter Algorithm -- Estimation of Multiple View Relations Considering Evolutionary Approaches -- Circle Detection on Images Based on an Evolutionary Algorithm that Reduces the Number of Function Evaluations -- Otsu and Kapur Segmentation Based on Harmony Search Optimization -- Leukocyte Detection by Using Electromagnetism-Like Optimization -- Automatic Segmentation by Using an Algorithm Based on the Behavior of Locust Swarms. |
Record Nr. | UNINA-9910254210003321 |
Cuevas Erik | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applications of Nonlinear Analysis [[electronic resource] /] / edited by Themistocles M. Rassias |
Edizione | [1st ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (xvi, 931 pages) |
Disciplina | 530.15 |
Collana | Springer Optimization and Its Applications |
Soggetto topico |
Calculus of variations
Functional analysis Fourier analysis Differential equations Partial differential equations Calculus of Variations and Optimal Control; Optimization Functional Analysis Fourier Analysis Ordinary Differential Equations Partial Differential Equations |
ISBN | 3-319-89815-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 01- New applications of γ-quasiconvexity -- Chapter 02- Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type -- Chapter 03- On Lagrangian duality in infinite dimension and its applications -- Chapter 04- Stability analysis of the inverse problem of parameter identification in mixed variational problems -- Chapter 05- Nonlinear duality in Banach spaces and applications to finance and elasticity -- Chapter 06- Selective priorities in processing of big data -- Chapter 07- General inertial Mann algorithms and their convergence analysis for nonexpansive mappings -- Chapter 08- Reverses of Jensen's integral inequality and applications: a survey of recent results -- Chapter 09- Ordering structures and their applications -- Chapter 10- An overview on singular nonlinear elliptic boundary value problems -- Chapter 11- The Pilgerschritt (Liedl) transform on manifolds -- Chapter 12- On some mathematical models arising in lubrication theory -- Chapter 13- On the spectrum of a nonlinear two parameter matrix eigenvalue problem -- Chapter 14- On the properties of a nonlocal nonlinear Schr¨odinger model and its soliton solutions -- Chapter 15- Stability of a Cauchy-Jensen additive mapping in various normed spaces -- Chapter 16- NAN-RN approximately generalized additive functional equations -- Chapter 17- On the HUR-stability of quadratic functional equations in fuzzy Banach spaces -- Chapter 18- Asymptotic orbits in Hill's problem when the larger primary is a source of radiation -- Chapter 19- Computations for minors of Weighing Matrices with application to the growth problem -- Chapter 20- Robots that do not avoid obstacles -- Chapter 21- On the exact solution of nonlinear integro-differential equations -- Chapter 22- Qualitative, approximate and numerical approaches for the solution of nonlinear differential equations -- Chapter 23- On a Hilbert-type integral inequality in the whole plane -- Chapter 24- Four conjectures in Nonlinear Analysis -- Chapter 25- Corelations are more powerful tools than relations -- Chapter 26- Rational contractions and coupled fixed points -- Chapter 27- A multiple Hilbert-type integral inequality in the whole space -- Chapter 28- Generalizations of Metric Spaces: From the Fixed-Point Theory to the Fixed-Circle Theory -- Chapter 29- Finite-difference modeling of nonlinear phenomena in time-domain electromagnetics: A Review. |
Record Nr. | UNINA-9910767537003321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applications of variational inequalities in stochastic control / Alain Bensoussan, Jacques-Louis Lions |
Autore | Bensoussan, Alain |
Edizione | [English version /] |
Pubbl/distr/stampa | Amsterdam : North-Holland, 1982 |
Descrizione fisica | xi, 564 p. ; 23 cm. |
Disciplina | 629.8312 |
Altri autori (Persone) | Lions, Jacques Louisauthor |
Collana | Studies in mathematics and its applications, 0168-2024 ; 12 |
Soggetto topico |
Calculus of variations
Control theory Inequalities Partial differential equations Stochastic processes |
ISBN | 0444863583 |
Classificazione |
AMS 49-XX
QA402.3B4313 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000689349707536 |
Bensoussan, Alain | ||
Amsterdam : North-Holland, 1982 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 406 p.) |
Disciplina | 515.7 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Functional analysis
Mathematical analysis Analysis (Mathematics) System theory Calculus of variations Functional Analysis Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0821-1 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Hahn-Banach Theorem Optimization Problems -- 1.1 The Hahn-Banach Theorem -- 1.2 Applications to the Separation of Convex Sets -- 1.3 The Dual Space C[a,b]* -- 1.4 Applications to the Moment Problem -- 1.5 Minimum Norm Problems and Duality Theory -- 1.6 Applications to ?ebyšev Approximation -- 1.7 Applications to the Optimal Control of Rockets -- 2 Variational Principles and Weak Convergence -- 2.1 The nth Variation -- 2.2 Necessary and Sufficient Conditions for Local Extrema and the Classical Calculus of Variations -- 2.3 The Lack of Compactness in Infinite-Dimensional Banach Spaces -- 2.4 Weak Convergence -- 2.5 The Generalized Weierstrass Existence Theorem -- 2.6 Applications to the Calculus of Variations -- 2.7 Applications to Nonlinear Eigenvalue Problems -- 2.8 Reflexive Banach Spaces -- 2.9 Applications to Convex Minimum Problems and Variational Inequalities -- 2.10 Applications to Obstacle Problems in Elasticity -- 2.11 Saddle Points -- 2.12 Applications to Duality Theory -- 2.13 The von Neumann Minimax Theorem on the Existence of Saddle Points -- 2.14 Applications to Game Theory -- 2.15 The Ekeland Principle about Quasi-Minimal Points -- 2.16 Applications to a General Minimum Principle via the Palais-Smale Condition -- 2.17 Applications to the Mountain Pass Theorem -- 2.18 The Galerkin Method and Nonlinear Monotone Operators -- 2.19 Symmetries and Conservation Laws (The Noether Theorem) -- 2.20 The Basic Ideas of Gauge Field Theory -- 2.21 Representations of Lie Algebras -- 2.22 Applications to Elementary Particles -- 3 Principles of Linear Functional Analysis -- 3.1 The Baire Theorem -- 3.2 Application to the Existence of Nondifferentiable Continuous Functions -- 3.3 The Uniform Boundedness Theorem -- 3.4 Applications to Cubature Formulas -- 3.5 The Open Mapping Theorem -- 3.6 Product Spaces -- 3.7 The Closed Graph Theorem -- 3.8 Applications to Factor Spaces -- 3.9 Applications to Direct Sums and Projections -- 3.10 Dual Operators -- 3.11 The Exactness of the Duality Functor -- 3.12 Applications to the Closed Range Theorem and to Fredholm Alternatives -- 4 The Implicit Function Theorem -- 4.1 m-Linear Bounded Operators -- 4.2 The Differential of Operators and the Fréchet Derivative -- 4.3 Applications to Analytic Operators -- 4.4 Integration -- 4.5 Applications to the Taylor Theorem -- 4.6 Iterated Derivatives -- 4.7 The Chain Rule -- 4.8 The Implicit Function Theorem -- 4.9 Applications to Differential Equations -- 4.10 Diffeomorphisms and the Local Inverse Mapping Theorem -- 4.11 Equivalent Maps and the Linearization Principle -- 4.12 The Local Normal Form for Nonlinear Double Splitting Maps -- 4.13 The Surjective Implicit Function Theorem -- 4.14 Applications to the Lagrange Multiplier Rule -- 5 Fredholm Operators -- 5.1 Duality for Linear Compact Operators -- 5.2 The Riesz-Schauder Theory on Hilbert Spaces -- 5.3 Applications to Integral Equations -- 5.4 Linear Fredholm Operators -- 5.5 The Riesz-Schauder Theory on Banach Spaces -- 5.6 Applications to the Spectrum of Linear Compact Operators -- 5.7 The Parametrix -- 5.8 Applications to the Perturbation of Fredholm Operators -- 5.9 Applications to the Product Index Theorem -- 5.10 Fredholm Alternatives via Dual Pairs -- 5.11 Applications to Integral Equations and Boundary-Value Problems -- 5.12 Bifurcation Theory -- 5.13 Applications to Nonlinear Integral Equations -- 5.14 Applications to Nonlinear Boundary-Value Problems -- 5.15 Nonlinear Fredholm Operators -- 5.16 Interpolation Inequalities -- 5.17 Applications to the Navier-Stokes Equations -- References -- List of Symbols -- List of Theorems -- List of Most Important Definitions. |
Record Nr. | UNINA-9910480063503321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XXIX, 481 p.) |
Disciplina | 515 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Mathematical analysis
Analysis (Mathematics) System theory Calculus of variations Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0815-7 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Banach Spaces and Fixed-Point Theorems -- 1.1 Linear Spaces and Dimension -- 1.2 Normed Spaces and Convergence -- 1.3 Banach Spaces and the Cauchy Convergence Criterion -- 1.4 Open and Closed Sets -- 1.5 Operators -- 1.6 The Banach Fixed-Point Theorem and the Iteration Method -- 1.7 Applications to Integral Equations -- 1.8 Applications to Ordinary Differential Equations -- 1.9 Continuity -- 1.10 Convexity -- 1.11 Compactness -- 1.12 Finite-Dimensional Banach Spaces and Equivalent Norms -- 1.13 The Minkowski Functional and Homeomorphisms -- 1.14 The Brouwer Fixed-Point Theorem -- 1.15 The Schauder Fixed-Point Theorem -- 1.16 Applications to Integral Equations -- 1.17 Applications to Ordinary Differential Equations -- 1.18 The Leray-Schauder Principle and a priori Estimates -- 1.19 Sub- and Supersolutions, and the Iteration Method in Ordered Banach Spaces -- 1.20 Linear Operators -- 1.21 The Dual Space -- 1.22 Infinite Series in Normed Spaces -- 1.23 Banach Algebras and Operator Functions -- 1.24 Applications to Linear Differential Equations in Banach Spaces -- 1.25 Applications to the Spectrum -- 1.26 Density and Approximation -- 1.27 Summary of Important Notions -- 2 Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 2.1 Hilbert Spaces -- 2.2 Standard Examples -- 2.3 Bilinear Forms -- 2.4 The Main Theorem on Quadratic Variational Problems -- 2.5 The Functional Analytic Justification of the Dirichlet Principle -- 2.6 The Convergence of the Ritz Method for Quadratic Variational Problems -- 2.7 Applications to Boundary-Value Problems, the Method of Finite Elements, and Elasticity -- 2.8 Generalized Functions and Linear Functionals -- 2.9 Orthogonal Projection -- 2.10 Linear Functionals and the Riesz Theorem -- 2.11 The Duality Map -- 2.12 Duality for Quadratic Variational Problems -- 2.13 The Linear Orthogonality Principle -- 2.14 Nonlinear Monotone Operators -- 2.15 Applications to the Nonlinear Lax-Milgram Theorem and the Nonlinear Orthogonality Principle -- 3 Hilbert Spaces and Generalized Fourier Series -- 3.1 Orthonormal Series -- 3.2 Applications to Classical Fourier Series -- 3.3 The Schmidt Orthogonalization Method -- 3.4 Applications to Polynomials -- 3.5 Unitary Operators -- 3.6 The Extension Principle -- 3.7 Applications to the Fourier Transformation -- 3.8 The Fourier Transform of Tempered Generalized Functions -- 4 Eigenvalue Problems for Linear Compact Symmetric Operators -- 4.1 Symmetric Operators -- 4.2 The Hilbert-Schmidt Theory -- 4.3 The Fredholm Alternative -- 4.4 Applications to Integral Equations -- 4.5 Applications to Boundary-Eigenvalue Value Problems -- 5 Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics -- 5.1 Extensions and Embeddings -- 5.2 Self-Adjoint Operators -- 5.3 The Energetic Space -- 5.4 The Energetic Extension -- 5.5 The Friedrichs Extension of Symmetric Operators -- 5.6 Applications to Boundary-Eigenvalue Problems for the Laplace Equation -- 5.7 The Poincaré Inequality and Rellich’s Compactness Theorem -- 5.8 Functions of Self-Adjoint Operators -- 5.9 Semigroups, One-Parameter Groups, and Their Physical Relevance -- 5.10 Applications to the Heat Equation -- 5.11 Applications to the Wave Equation -- 5.12 Applications to the Vibrating String and the Fourier Method -- 5.13 Applications to the Schrödinger Equation -- 5.14 Applications to Quantum Mechanics -- 5.15 Generalized Eigenfunctions -- 5.16 Trace Class Operators -- 5.17 Applications to Quantum Statistics -- 5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics -- 5.19 The Fock Space in Quantum Field Theory and the Pauli Principle -- 5.20 A Look at Scattering Theory -- 5.21 The Language of Physicists in Quantum Physics and the Justification of the Dirac Calculus -- 5.22 The Euclidean Strategy in Quantum Physics -- 5.23 Applications to Feynman’s Path Integral -- 5.24 The Importance of the Propagator in Quantum Physics -- 5.25 A Look at Solitons and Inverse Scattering Theory -- Epilogue -- References -- Hints for Further Reading -- List of Symbols -- List of Theorems -- List of the Most Important Definitions. |
Record Nr. | UNINA-9910480363703321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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