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Classical sequences in Banach spaces / Sylvie Guerre-Delabriere
| Classical sequences in Banach spaces / Sylvie Guerre-Delabriere |
| Autore | Guerre-Delabriere, Sylvie |
| Pubbl/distr/stampa | New York [etc.] : Marcel Dekker, 1992 |
| Descrizione fisica | XIV, 207 p., 23 cm |
| Disciplina | 515.732 |
| Collana | Monographs and textbooks in pure and applied mathematics |
| Soggetto non controllato | Spazi di banach |
| ISBN | 0-8247-8723-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001316980403321 |
Guerre-Delabriere, Sylvie
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| New York [etc.] : Marcel Dekker, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Denseness, bases and frames in banach spaces and applications / / Aref Jeribi
| Denseness, bases and frames in banach spaces and applications / / Aref Jeribi |
| Autore | Jeribi Aref |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (421 pages) |
| Disciplina | 515.732 |
| Soggetto topico | Banach spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-049240-7
3-11-049386-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Linear operators -- 3. Basic notations and results -- 4. Bases -- 5. Semi-groups -- 6. Discrete operator and denseness of the generalized eigenvectors -- 7. Frames in Hilbert spaces -- 8. Summability of series -- 9. ν-convergence operators -- 10. Γ-hypercyclic set of linear operators -- 11. Analytic operators in Béla Szökefalvi-Nagy's sense -- 12. Bases of the perturbed operator T(ε) -- 13. Frame of the perturbed operator T(ε) -- 14. Perturbation method for sound radiation by a vibrating plate in a light fluid -- 15. Applications to mathematical models -- 16. Reggeon field theory -- Bibliography -- Index |
| Record Nr. | UNINA-9910467339503321 |
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Jeribi Aref
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| Berlin ; ; Boston : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Denseness, bases and frames in banach spaces and applications / / Aref Jeribi
| Denseness, bases and frames in banach spaces and applications / / Aref Jeribi |
| Autore | Jeribi Aref |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (421 pages) |
| Disciplina | 515.732 |
| Soggetto topico | Banach spaces |
| ISBN |
3-11-049240-7
3-11-049386-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Linear operators -- 3. Basic notations and results -- 4. Bases -- 5. Semi-groups -- 6. Discrete operator and denseness of the generalized eigenvectors -- 7. Frames in Hilbert spaces -- 8. Summability of series -- 9. ν-convergence operators -- 10. Γ-hypercyclic set of linear operators -- 11. Analytic operators in Béla Szökefalvi-Nagy's sense -- 12. Bases of the perturbed operator T(ε) -- 13. Frame of the perturbed operator T(ε) -- 14. Perturbation method for sound radiation by a vibrating plate in a light fluid -- 15. Applications to mathematical models -- 16. Reggeon field theory -- Bibliography -- Index |
| Record Nr. | UNINA-9910796784303321 |
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Jeribi Aref
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| Berlin ; ; Boston : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Denseness, bases and frames in banach spaces and applications / / Aref Jeribi
| Denseness, bases and frames in banach spaces and applications / / Aref Jeribi |
| Autore | Jeribi Aref |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (421 pages) |
| Disciplina | 515.732 |
| Soggetto topico | Banach spaces |
| ISBN |
3-11-049240-7
3-11-049386-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Linear operators -- 3. Basic notations and results -- 4. Bases -- 5. Semi-groups -- 6. Discrete operator and denseness of the generalized eigenvectors -- 7. Frames in Hilbert spaces -- 8. Summability of series -- 9. ν-convergence operators -- 10. Γ-hypercyclic set of linear operators -- 11. Analytic operators in Béla Szökefalvi-Nagy's sense -- 12. Bases of the perturbed operator T(ε) -- 13. Frame of the perturbed operator T(ε) -- 14. Perturbation method for sound radiation by a vibrating plate in a light fluid -- 15. Applications to mathematical models -- 16. Reggeon field theory -- Bibliography -- Index |
| Record Nr. | UNINA-9910816995503321 |
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Jeribi Aref
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| Berlin ; ; Boston : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differentiability in Banach spaces, differential forms and applications / / Celso Melchiades Doria
| Differentiability in Banach spaces, differential forms and applications / / Celso Melchiades Doria |
| Autore | Doria Celso Melchiades |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (369 pages) |
| Disciplina | 515.732 |
| Soggetto topico |
Banach spaces
Espais de Banach Stokes' theorem |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-77834-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Introduction -- Contents -- 1 Differentiation in mathbbRn -- 1 Differentiability of Functions f:mathbbRnrightarrowmathbbR -- 1.1 Directional Derivatives -- 1.2 Differentiable Functions -- 1.3 Differentials -- 1.4 Multiple Derivatives -- 1.5 Higher Order Differentials -- 2 Taylor's Formula -- 3 Critical Points and Local Extremes -- 3.1 Morse Functions -- 4 The Implicit Function Theorem and Applications -- 5 Lagrange Multipliers -- 5.1 The Ultraviolet Catastrophe: The Dawn of Quantum Mechanics -- 6 Differentiable Maps I -- 6.1 Basics Concepts -- 6.2 Coordinate Systems -- 6.3 The Local Form of an Immersion -- 6.4 The Local Form of Submersions -- 6.5 Generalization of the Implicit Function Theorem -- 7 Fundamental Theorem of Algebra -- 8 Jacobian Conjecture -- 8.1 Case n=1 -- 8.2 Case nge2 -- 8.3 Covering Spaces -- 8.4 Degree Reduction -- 2 Linear Operators in Banach Spaces -- 1 Bounded Linear Operators on Normed Spaces -- 2 Closed Operators and Closed Range Operators -- 3 Dual Spaces -- 4 The Spectrum of a Bounded Linear Operator -- 5 Compact Linear Operators -- 6 Fredholm Operators -- 6.1 The Spectral Theory of Compact Operators -- 7 Linear Operators on Hilbert Spaces -- 7.1 Characterization of Compact Operators on Hilbert Spaces -- 7.2 Self-adjoint Compact Operators on Hilbert Spaces -- 7.3 Fredholm Alternative -- 7.4 Hilbert-Schmidt Integral Operators -- 8 Closed Unbounded Linear Operators on Hilbert Spaces -- 3 Differentiation in Banach Spaces -- 1 Maps on Banach Spaces -- 1.1 Extension by Continuity -- 2 Derivation and Integration of Functions f:[a,b]rightarrowE -- 2.1 Derivation of a Single Variable Function -- 2.2 Integration of a Single Variable Function -- 3 Differentiable Maps II -- 4 Inverse Function Theorem (InFT) -- 4.1 Prelude for the Inverse Function Theorem -- 4.2 InFT for Functions of a Single Real Variable.
4.3 Proof of the Inverse Function Theorem (InFT) -- 4.4 Applications of InFT -- 5 Classical Examples in Variational Calculus -- 5.1 Euler-Lagrange Equations -- 5.2 Examples -- 6 Fredholm Maps -- 6.1 Final Comments and Examples -- 7 An Application of the Inverse Function Theorem to Geometry -- 4 Vector Fields -- 1 Vector Fields in mathbbRn -- 2 Conservative Vector Fields -- 3 Existence and Uniqueness Theorem for ODE -- 4 Flow of a Vector Field -- 5 Vector Fields as Differential Operators -- 6 Integrability, Frobenius Theorem -- 7 Lie Groups and Lie Algebras -- 8 Variations over a Flow, Lie Derivative -- 9 Gradient, Curl and Divergent Differential Operators -- 5 Vector Integration, Potential Theory -- 1 Vector Calculus -- 1.1 Line Integral -- 1.2 Surface Integral -- 2 Classical Theorems of Integration -- 2.1 Interpretation of the Curl and Div Operators -- 3 Elementary Aspects of the Theory of Potential -- 6 Differential Forms, Stokes Theorem -- 1 Exterior Algebra -- 2 Orientation on V and on the Inner Product on Λ(V) -- 2.1 Orientation -- 2.2 Inner Product in Λ(V) -- 2.3 Pseudo-Inner Product, the Lorentz Form -- 3 Differential Forms -- 3.1 Exterior Derivative -- 4 De Rham Cohomology -- 4.1 Short Exact Sequence -- 5 De Rham Cohomology of Spheres and Surfaces -- 6 Stokes Theorem -- 7 Orientation, Hodge Star-Operator and Exterior Co-derivative -- 8 Differential Forms on Manifolds, Stokes Theorem -- 8.1 Orientation -- 8.2 Integration on Manifolds -- 8.3 Exterior Derivative -- 8.4 Stokes Theorem on Manifolds -- 7 Applications to the Stokes Theorem -- 1 Volumes of the (n+1)-Disk and of the n-Sphere -- 2 Harmonic Functions -- 2.1 Laplacian Operator -- 2.2 Properties of Harmonic Functions -- 3 Poisson Kernel for the n-Disk DnR -- 4 Harmonic Differential Forms -- 4.1 Hodge Theorem on Manifolds -- 5 Geometric Formulation of the Electromagnetic Theory. 5.1 Electromagnetic Potentials -- 5.2 Geometric Formulation -- 5.3 Variational Formulation -- 6 Helmholtz's Decomposition Theorem -- Appendix A Basics of Analysis -- 1 Sets -- 2 Finite-dimensional Linear Algebra: V=mathbbRn -- 2.1 Matrix Spaces -- 2.2 Linear Transformations -- 2.3 Primary Decomposition Theorem -- 2.4 Inner Product and Sesquilinear Forms -- 2.5 The Sylvester Theorem -- 2.6 Dual Vector Spaces -- 3 Metric and Banach Spaces -- 4 Calculus Theorems -- 4.1 One Real Variable Functions -- 4.2 Functions of Several Real Variables -- 5 Proper Maps -- 6 Equicontinuity and the Ascoli-Arzelà Theorem -- 7 Functional Analysis Theorems -- 7.1 Riesz and Hahn-Banach Theorems -- 7.2 Topological Complementary Subspace -- 8 The Contraction Lemma -- Appendix B Differentiable Manifolds, Lie Groups -- 1 Differentiable Manifolds -- 2 Bundles: Tangent and Cotangent -- 3 Lie Groups -- Appendix C Tensor Algebra -- 1 Tensor Product -- 2 Tensor Algebra -- Appendix References -- -- Index. |
| Record Nr. | UNINA-9910495154603321 |
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Doria Celso Melchiades
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differentiability in Banach spaces, differential forms and applications / / Celso Melchiades Doria
| Differentiability in Banach spaces, differential forms and applications / / Celso Melchiades Doria |
| Autore | Doria Celso Melchiades |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (369 pages) |
| Disciplina | 515.732 |
| Soggetto topico |
Banach spaces
Espais de Banach Stokes' theorem |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-77834-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Introduction -- Contents -- 1 Differentiation in mathbbRn -- 1 Differentiability of Functions f:mathbbRnrightarrowmathbbR -- 1.1 Directional Derivatives -- 1.2 Differentiable Functions -- 1.3 Differentials -- 1.4 Multiple Derivatives -- 1.5 Higher Order Differentials -- 2 Taylor's Formula -- 3 Critical Points and Local Extremes -- 3.1 Morse Functions -- 4 The Implicit Function Theorem and Applications -- 5 Lagrange Multipliers -- 5.1 The Ultraviolet Catastrophe: The Dawn of Quantum Mechanics -- 6 Differentiable Maps I -- 6.1 Basics Concepts -- 6.2 Coordinate Systems -- 6.3 The Local Form of an Immersion -- 6.4 The Local Form of Submersions -- 6.5 Generalization of the Implicit Function Theorem -- 7 Fundamental Theorem of Algebra -- 8 Jacobian Conjecture -- 8.1 Case n=1 -- 8.2 Case nge2 -- 8.3 Covering Spaces -- 8.4 Degree Reduction -- 2 Linear Operators in Banach Spaces -- 1 Bounded Linear Operators on Normed Spaces -- 2 Closed Operators and Closed Range Operators -- 3 Dual Spaces -- 4 The Spectrum of a Bounded Linear Operator -- 5 Compact Linear Operators -- 6 Fredholm Operators -- 6.1 The Spectral Theory of Compact Operators -- 7 Linear Operators on Hilbert Spaces -- 7.1 Characterization of Compact Operators on Hilbert Spaces -- 7.2 Self-adjoint Compact Operators on Hilbert Spaces -- 7.3 Fredholm Alternative -- 7.4 Hilbert-Schmidt Integral Operators -- 8 Closed Unbounded Linear Operators on Hilbert Spaces -- 3 Differentiation in Banach Spaces -- 1 Maps on Banach Spaces -- 1.1 Extension by Continuity -- 2 Derivation and Integration of Functions f:[a,b]rightarrowE -- 2.1 Derivation of a Single Variable Function -- 2.2 Integration of a Single Variable Function -- 3 Differentiable Maps II -- 4 Inverse Function Theorem (InFT) -- 4.1 Prelude for the Inverse Function Theorem -- 4.2 InFT for Functions of a Single Real Variable.
4.3 Proof of the Inverse Function Theorem (InFT) -- 4.4 Applications of InFT -- 5 Classical Examples in Variational Calculus -- 5.1 Euler-Lagrange Equations -- 5.2 Examples -- 6 Fredholm Maps -- 6.1 Final Comments and Examples -- 7 An Application of the Inverse Function Theorem to Geometry -- 4 Vector Fields -- 1 Vector Fields in mathbbRn -- 2 Conservative Vector Fields -- 3 Existence and Uniqueness Theorem for ODE -- 4 Flow of a Vector Field -- 5 Vector Fields as Differential Operators -- 6 Integrability, Frobenius Theorem -- 7 Lie Groups and Lie Algebras -- 8 Variations over a Flow, Lie Derivative -- 9 Gradient, Curl and Divergent Differential Operators -- 5 Vector Integration, Potential Theory -- 1 Vector Calculus -- 1.1 Line Integral -- 1.2 Surface Integral -- 2 Classical Theorems of Integration -- 2.1 Interpretation of the Curl and Div Operators -- 3 Elementary Aspects of the Theory of Potential -- 6 Differential Forms, Stokes Theorem -- 1 Exterior Algebra -- 2 Orientation on V and on the Inner Product on Λ(V) -- 2.1 Orientation -- 2.2 Inner Product in Λ(V) -- 2.3 Pseudo-Inner Product, the Lorentz Form -- 3 Differential Forms -- 3.1 Exterior Derivative -- 4 De Rham Cohomology -- 4.1 Short Exact Sequence -- 5 De Rham Cohomology of Spheres and Surfaces -- 6 Stokes Theorem -- 7 Orientation, Hodge Star-Operator and Exterior Co-derivative -- 8 Differential Forms on Manifolds, Stokes Theorem -- 8.1 Orientation -- 8.2 Integration on Manifolds -- 8.3 Exterior Derivative -- 8.4 Stokes Theorem on Manifolds -- 7 Applications to the Stokes Theorem -- 1 Volumes of the (n+1)-Disk and of the n-Sphere -- 2 Harmonic Functions -- 2.1 Laplacian Operator -- 2.2 Properties of Harmonic Functions -- 3 Poisson Kernel for the n-Disk DnR -- 4 Harmonic Differential Forms -- 4.1 Hodge Theorem on Manifolds -- 5 Geometric Formulation of the Electromagnetic Theory. 5.1 Electromagnetic Potentials -- 5.2 Geometric Formulation -- 5.3 Variational Formulation -- 6 Helmholtz's Decomposition Theorem -- Appendix A Basics of Analysis -- 1 Sets -- 2 Finite-dimensional Linear Algebra: V=mathbbRn -- 2.1 Matrix Spaces -- 2.2 Linear Transformations -- 2.3 Primary Decomposition Theorem -- 2.4 Inner Product and Sesquilinear Forms -- 2.5 The Sylvester Theorem -- 2.6 Dual Vector Spaces -- 3 Metric and Banach Spaces -- 4 Calculus Theorems -- 4.1 One Real Variable Functions -- 4.2 Functions of Several Real Variables -- 5 Proper Maps -- 6 Equicontinuity and the Ascoli-Arzelà Theorem -- 7 Functional Analysis Theorems -- 7.1 Riesz and Hahn-Banach Theorems -- 7.2 Topological Complementary Subspace -- 8 The Contraction Lemma -- Appendix B Differentiable Manifolds, Lie Groups -- 1 Differentiable Manifolds -- 2 Bundles: Tangent and Cotangent -- 3 Lie Groups -- Appendix C Tensor Algebra -- 1 Tensor Product -- 2 Tensor Algebra -- Appendix References -- -- Index. |
| Record Nr. | UNISA-996466394503316 |
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Doria Celso Melchiades
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Differential calculus / Henri Cartan
| Differential calculus / Henri Cartan |
| Autore | Cartan, Henri |
| Pubbl/distr/stampa | Paris : Hermann |
| Descrizione fisica | 160 p. ; 23 cm |
| Disciplina | 515.732 |
| Soggetto topico |
Banach spaces
Normed linear spaces |
| Classificazione |
AMS 46B
AMS 34G |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000816379707536 |
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Cartan, Henri
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| Paris : Hermann | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Elementi di analisi spettrale per operatori in spazi di Banach / Angela A. Albanese, Elisabetta M. Mangino, Vincenzo B. Moscatelli
| Elementi di analisi spettrale per operatori in spazi di Banach / Angela A. Albanese, Elisabetta M. Mangino, Vincenzo B. Moscatelli |
| Autore | Albanese, Angela Anna |
| Pubbl/distr/stampa | Lecce : Università del Salento. Coordinamento SIBA, 2009 |
| Descrizione fisica | vii, 75 p. : 24 cm |
| Disciplina | 515.732 |
| Altri autori (Persone) |
Mangino, Elisabetta
Moscatelli, Vincenzo B. |
| Collana | Quaderni del Dipartimento di matematica dell'Università di Lecce ; 1/2009 |
| Soggetto topico | Banach spaces |
| ISBN | 9788883050671 |
| Classificazione | AMS 46B |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991001037859707536 |
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Albanese, Angela Anna
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| Lecce : Università del Salento. Coordinamento SIBA, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Elements of mathematical theory of evolutionary equations in Banach spaces [[electronic resource] /] / Anatoly M. Samoilenko, Yuriy V. Teplinsky
| Elements of mathematical theory of evolutionary equations in Banach spaces [[electronic resource] /] / Anatoly M. Samoilenko, Yuriy V. Teplinsky |
| Autore | Samoilenko Anatoly M |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (408 p.) |
| Disciplina | 515.732 |
| Altri autori (Persone) | TeplinskyYuriy V |
| Collana | World Scientific series in nonlinear science, Series A |
| Soggetto topico |
Banach spaces
Evolution equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4434-83-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Reducibility problems for difference equations; 1.1 On analogs of the Erugin and Floquet-Lyapunov theorems for equations in the space; 1.2 Linear equations in the space defined on tori; 1.3 Nonlinear almost periodic equations deFIned on an infinite-dimensional torus; 1.4 Reduction of a discrete dynamical system in the space Rq to the canonical form in a neighborhood of its invariant set; 1.5 Investigation of a discrete dynamical system defined in an abstract Banach space in a neighborhood of its invariant set; 2. Invariant tori of difference equations in the space
2.1 Sufficient conditions of existence of a continuous invariant torus2.2 On the differentiability of an invariant torus with respect to the angular variable and the parameter in the coordinate wise meaning; 2.3 Truncation method in studying the smoothness of invariant tori; 2.4 Case of linear and quasilinear systems defined on the infinite-dimensional tori; 2.5 On the existence of the invariant tori of nonlinear systems; 2.6 Differentiability of the invariant tori of nonlinear systems in the Frechet meaning 3.2 Periodic solutions of nonlinear difference equations of the first order in an abstract Banach space3.3 Periodic solutions of nonlinear difference equations of the second order; 3.4 Asymptotic periodicity of solutions of a linear equation in a complex Banach space; 3.5 Extension "to the left" of solutions of nonlinear degenerate difference equations; 4. Countable-point boundary-value problems for nonlinear differential equations; 4.1 Boundary-value problem on the semiaxis; 4.2 Boundary-value problems on an interval; 4.3 Reduction to a finite-dimensional multipoint case 4.4 Another means of the reduction. Conditions of commutativity of the limiting transitions (4.42) and (4.43)4.5 Boundary-value problems for differential equations unsolvable with respect to the derivative; 4.6 Reduction to a finite-dimensional multipoint problem; Bibliography; Index |
| Record Nr. | UNINA-9910462845103321 |
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Samoilenko Anatoly M
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| New Jersey, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elements of mathematical theory of evolutionary equations in Banach spaces / / Anatoly M. Samoilenko, National Academy of Sciences, Ukraine, Yuriy V. Teplinsky, Kamyanets-Podilsky National University, Ukraine
| Elements of mathematical theory of evolutionary equations in Banach spaces / / Anatoly M. Samoilenko, National Academy of Sciences, Ukraine, Yuriy V. Teplinsky, Kamyanets-Podilsky National University, Ukraine |
| Autore | Samoilenko Anatoly M |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (x, 397 pages) : illustrations |
| Disciplina | 515.732 |
| Collana |
World Scientific series on nonlinear science. Series A
Gale eBooks World Scientific series in nonlinear science, Series A |
| Soggetto topico |
Banach spaces
Evolution equations Differential equations, Nonlinear |
| ISBN | 981-4434-83-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Reducibility problems for difference equations; 1.1 On analogs of the Erugin and Floquet-Lyapunov theorems for equations in the space; 1.2 Linear equations in the space defined on tori; 1.3 Nonlinear almost periodic equations deFIned on an infinite-dimensional torus; 1.4 Reduction of a discrete dynamical system in the space Rq to the canonical form in a neighborhood of its invariant set; 1.5 Investigation of a discrete dynamical system defined in an abstract Banach space in a neighborhood of its invariant set; 2. Invariant tori of difference equations in the space
2.1 Sufficient conditions of existence of a continuous invariant torus2.2 On the differentiability of an invariant torus with respect to the angular variable and the parameter in the coordinate wise meaning; 2.3 Truncation method in studying the smoothness of invariant tori; 2.4 Case of linear and quasilinear systems defined on the infinite-dimensional tori; 2.5 On the existence of the invariant tori of nonlinear systems; 2.6 Differentiability of the invariant tori of nonlinear systems in the Frechet meaning 3.2 Periodic solutions of nonlinear difference equations of the first order in an abstract Banach space3.3 Periodic solutions of nonlinear difference equations of the second order; 3.4 Asymptotic periodicity of solutions of a linear equation in a complex Banach space; 3.5 Extension "to the left" of solutions of nonlinear degenerate difference equations; 4. Countable-point boundary-value problems for nonlinear differential equations; 4.1 Boundary-value problem on the semiaxis; 4.2 Boundary-value problems on an interval; 4.3 Reduction to a finite-dimensional multipoint case 4.4 Another means of the reduction. Conditions of commutativity of the limiting transitions (4.42) and (4.43)4.5 Boundary-value problems for differential equations unsolvable with respect to the derivative; 4.6 Reduction to a finite-dimensional multipoint problem; Bibliography; Index |
| Record Nr. | UNINA-9910786873403321 |
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Samoilenko Anatoly M
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| New Jersey, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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