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Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays [[electronic resource] /] / by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela
| Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays [[electronic resource] /] / by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela |
| Autore | Li Xu-Guang |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (145 p.) |
| Disciplina |
519
620 621.382 629.8 |
| Collana | SpringerBriefs in Control, Automation and Robotics |
| Soggetto topico |
Control engineering
System theory Electrical engineering Control and Systems Theory Systems Theory, Control Communications Engineering, Networks |
| ISBN | 3-319-15717-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to the Stability of Time-Delay Systems -- Introduction to Analytic Curves -- Analytic Curve Perspective for Time-Delay Systems -- Computing Puiseux Series for a Critical Pair -- Invariance Property: A Unique Idea for Complete Stability Analysis -- Invariance Property for Critical Imaginary Roots (CIRs) with Index g = 1 -- Invariance Property for Critical Imaginary Roots with Index n = 1 -- Invariance Conjecture and Frequency-Sweeping Framework -- Complex Stability for Time-Delay Systems: A Unified Approach -- Extension to Neutral Time-Delay Systems -- Concluding Remarks and Further Perspectives. |
| Record Nr. | UNINA-9910299837703321 |
Li Xu-Guang
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Analytical Design of PID Controllers [[electronic resource] /] / by Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya
| Analytical Design of PID Controllers [[electronic resource] /] / by Iván D. Díaz-Rodríguez, Sangjin Han, Shankar P. Bhattacharyya |
| Autore | Díaz-Rodríguez Iván D |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (304 pages) |
| Disciplina | 670.427 |
| Soggetto topico |
Control engineering
Chemical engineering Robotics System theory Aerospace engineering Astronautics Control and Systems Theory Industrial Chemistry/Chemical Engineering Systems Theory, Control Aerospace Technology and Astronautics |
| ISBN | 3-030-18228-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to Control -- Stabilizing Sets for Linear Time Invariant Continuous-Time Plants -- Stabilizing Sets for Ziegler-Nichols Plants -- Stabilizing Sets for Linear Time Invariant Discrete-Time Plants -- Computation of Stabilizing Sets From Frequency Response Data -- Gain and Phase Margin Based Design for Continuous-Time Plants -- Gain-Phase Margin Based Design of Discrete Time Controllers -- PID Control of Multivariable Systems -- H∞ Optimal Synthesis for Continuous-Time Systems -- H∞ Optimal Synthesis for Discrete-Time Systems. |
| Record Nr. | UNINA-9910483615003321 |
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Díaz-Rodríguez Iván D
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Analytics for the Sharing Economy: Mathematics, Engineering and Business Perspectives [[electronic resource] /] / edited by Emanuele Crisostomi, Bissan Ghaddar, Florian Häusler, Joe Naoum-Sawaya, Giovanni Russo, Robert Shorten
| Analytics for the Sharing Economy: Mathematics, Engineering and Business Perspectives [[electronic resource] /] / edited by Emanuele Crisostomi, Bissan Ghaddar, Florian Häusler, Joe Naoum-Sawaya, Giovanni Russo, Robert Shorten |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (343 pages) |
| Disciplina | 334 |
| Soggetto topico |
Control engineering
System theory Production management Operations research Management science Renewable energy resources Pollution Control and Systems Theory Systems Theory, Control Production Operations Research, Management Science Renewable and Green Energy Pollution, general |
| ISBN | 3-030-35032-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Optimisation -- Networking -- Game Theory -- Queuing Theory -- IoT and Cloud Computing -- Blockchain -- New Business Models. |
| Record Nr. | UNINA-9910484595803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Antenna Fundamentals for Legacy Mobile Applications and Beyond [[electronic resource] /] / edited by Issa Elfergani, Abubakar Sadiq Hussaini, Jonathan Rodriguez, Raed Abd-Alhameed
| Antenna Fundamentals for Legacy Mobile Applications and Beyond [[electronic resource] /] / edited by Issa Elfergani, Abubakar Sadiq Hussaini, Jonathan Rodriguez, Raed Abd-Alhameed |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XVII, 329 p. 267 illus., 164 illus. in color.) |
| Disciplina | 621.382 |
| Soggetto topico |
Electrical engineering
Power electronics Signal processing Image processing Speech processing systems System theory Input-output equipment (Computers) Communications Engineering, Networks Power Electronics, Electrical Machines and Networks Signal, Image and Speech Processing Systems Theory, Control Input/Output and Data Communications |
| ISBN | 3-319-63967-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Section I Evolution of the Mobile Antenna: 3G, 4G and beyond -- Fundamentals of antenna design, technologies and applications -- Section II Multi-band Antennas -- Design of Dual-band Planar Inverted F-L-Structure for frequency bands of the IEEE 802.11a/b/g, Bluetooth and ZigBee standards -- Double-Monopole Crescent-Shaped Antennas with High Isolation for WLAN and WIMAX Applications -- Electrically Small Planar Antenna based on Metamaterial -- Section III Wide band Antennas -- Effect of Aperture-Coupled Asymmetric Four (and five) DRA elements on the defected Ground Plan of Microstrip line for Ultra-Wideband -- A sample and compact planar ultra wide-band antenna with single or dual band-notched characteristics -- A Miniaturised Monopole Wideband Antenna with Tuneable Notch for WLAN/WiMAX Application -- Section IV MIMO Antennas -- Miniaturized EBG Two U-shape MIMO PIFA Antenna for mobile handset applications -- Compact design of MIMO antenna array Operating on 2.4 GHz and 5.2 GHz for wireless applications -- Compact Wide Band Printed MIMO/Diversity Monopole Antenna for GSM/UMTS and LTE Applications -- SECTION V Balanced Antennas -- Compact Structure of 3G Mobile Handsets wideband Balanced Antenna -- Coplanar-Fed Miniaturized Folded Loop Balanced Antenna for Use in WLAN Applications -- Performance of Dual-band balanced Antenna Structure for LTE -- SECTION VI mmWAVE Antenna for 5G -- Millimeter-Wave Pattern Reconfigurable Antenna -- Wide Angle Beam Scanning Antenna at 79 GHz for Short Range Automotive Radar Applications -- Conclusion. |
| Record Nr. | UNINA-9910299875403321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applications of the Topological Derivative Method [[electronic resource] /] / by Antonio André Novotny, Jan Sokołowski, Antoni Żochowski
| Applications of the Topological Derivative Method [[electronic resource] /] / by Antonio André Novotny, Jan Sokołowski, Antoni Żochowski |
| Autore | Novotny Antonio André |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XIV, 212 p. 62 illus., 9 illus. in color.) |
| Disciplina | 629.8 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Control engineering
Vibration Dynamical systems Dynamics System theory Control and Systems Theory Vibration, Dynamical Systems, Control Systems Theory, Control |
| ISBN | 3-030-05432-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Theory in Singularly Perturbed Geometrical Domains -- Steklov-Poincare´ Operator for Helmholtz Equation -- Topological Derivatives for Optimal Control Problems -- Optimality Conditions with Topological Derivatives -- A Gradient-Type Method and Applications -- Synthesis of Compliant Thermomechanical Actuators -- Synthesis of Compliant Piezomechanical Actuators -- Asymptotic Analysis of Variational Inequalities -- A Newton-Type Method and Applications -- The Electrical Impedance Tomography Problem. |
| Record Nr. | UNINA-9910484525403321 |
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Novotny Antonio André
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied and computational matrix analysis [[electronic resource] ] : MAT-TRIAD, Coimbra, Portugal, September 2015 selected, revised contributions / / edited by Natália Bebiano
| Applied and computational matrix analysis [[electronic resource] ] : MAT-TRIAD, Coimbra, Portugal, September 2015 selected, revised contributions / / edited by Natália Bebiano |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIII, 347 p. 17 illus., 7 illus. in color.) |
| Disciplina | 519.2 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Matrix theory
Algebra Graph theory Category theory (Mathematics) Homological algebra Associative rings Rings (Algebra) Operator theory System theory Linear and Multilinear Algebras, Matrix Theory Graph Theory Category Theory, Homological Algebra Associative Rings and Algebras Operator Theory Systems Theory, Control |
| ISBN | 9783319499840 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. A. Amiraslani, H. Faßbender, N. Shayanfar: Birkhoff polynomial basis -- 2. M. Hladik: On relation between P-matrices and regularity of interval matrices -- 3. J. Horacek, M. Hladik, M. Cerny: Interval Linear Algebra and Computational Complexity -- 4. P. Almeida, D. Napp, R. Pinto: On optimal extended row distance profile -- 5. M. El Oued, D. Napp, R. Pinto, M. Toste: The dual of convolutional codes over Zpr -- 6. S. Mendes: On the K-theory of the reduced C*-algebras of GL(n,R) and GL(n,C) -- 7. D. Moreira Cardoso, S.J. Pinheiro: Spectral bounds for the k-regular induced subgraph problem -- 8. K. Toyonaga, C. Johnson, R. Uhrig: Multiplicities: Adding a Vertex to a Graph -- 9. M. Bendaoud, M. Jabbar, M. Sarih: Nonlinear local invertibility preservers -- 10. A. Kovacec: More on the Hankel Pencil Conjecture -- 11. P. Batra: Componentwise products of totally nonnegative matrices generated by functions in the Laguerre-Polya class -- 12. N. Bebiano, J. da Providencia, A. Nata, J.P. da Providencia: Fields of values of linear pencils and spectral inclusion regions -- 13. N. Bebiano, J. da Providencia, F. Esmaeili: The characteristic polynomial of linear pencils of small size and the numerical range -- 14. H.K. Duru, D. Bozkurt: Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices -- 15. R. Mamede: Chains and antichains in the Bruhat order for classes of (0,1)-matrices -- 16. M. Saha: Iterative method for linear system with coefficient matrix as an Mv-matrix -- 17. C. Gamas: Symmetrized tensors and spherical functions -- 18. J. Pielaszkiewicz, D. von Rosen, M. Singull: Testing independence via spectral moments -- 19. R. Kala, A. Markiewicz, S. Puntanen: Some further remarks on the linear sufficiency in the linear model -- 20. L.M. Grilo, C.A. Coelho: The exact and near-exact distributions for the statistic used to test the reality of covariance matrix in a complex normal distribution -- 21. A. Silva, M. Fonseca, J. Mexia: Variance Components Estimation in Mixed Linear Model. |
| Record Nr. | UNINA-9910254287503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler
| 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 |
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Zeidler Eberhard
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler
| 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
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler
| 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-9910789342603321 |
|
Zeidler Eberhard
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||
| 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
| 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-9910789342903321 |
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Zeidler Eberhard
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Systems Theory, Control
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