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Principles of differential equations / / Nelson G. Markley
| Principles of differential equations / / Nelson G. Markley |
| Autore | Markley Nelson Groh <1940-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2004 |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina |
515.35
515/.35 |
| Collana | Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts |
| Soggetto topico | Differential equations |
| ISBN |
1-283-30628-X
9786613306289 1-118-03153-9 1-118-03328-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Principles of Differential Equations; Contents; Preface; 1 Fundamental Theorems; 1.1 Preliminaries; 1.2 Existence; 1.3 Uniqueness; 1.4 Numerical Approximation; 1.5 Continuation; 1.6 Continuity in Initial Conditions; 2 Classical Themes; 2.1 Integrals; 2.2 The Qualitative Point of View; 2.3 Differential Inequalities; 3 Linear Differential Equations; 3.1 Elementary Properties; 3.2 Fundamental Matrix Solutions; 3.3 Higher Order Linear Differential Equations; 3.4 Complex Linear Differential Equations; 4 Constant Coefficients; 4.1 The Exponential of a Matrix; 4.2 Generalized Eigenspaces
4.3 Canonical Forms4.4 Higher Order Equations; 4.5 The Range of the Exponential Map; 5 Stability; 5.1 Stability at Fixed Points; 5.2 Stability and Constant Coefficients; 5.3 Stability and General Linear Systems; 5.4 Linear Systems with Periodic Coefficients; 6 The Poincaré Return Map; 6.1 Local Sections; 6.2 Planar Dynamics; 6.3 Recurrence; 7 Smooth Vector Fields; 7.1 Differentiate Functions; 7.2 Differentiation in Initial Conditions; 7.3 Linearization; 7.4 Hamiltonian Systems; 8 Hyperbolic Phenomenon; 8.1 Hyperbolic Linear Vector Fields; 8.2 Perturbed Hyperbolic Systems 8.3 The Contraction Mapping Principle8.4 Local Stable Manifolds; 9 Bifurcations; 9.1 The Implicit Function Theorem; 9.2 Persistence of Periodic Points; 9.3 Hopf Bifurcations; Bibliography; Index |
| Record Nr. | UNINA-9910130965103321 |
Markley Nelson Groh <1940->
|
||
| Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Principles of differential equations / / Nelson G. Markley
| Principles of differential equations / / Nelson G. Markley |
| Autore | Markley Nelson Groh <1940-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2004 |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina |
515.35
515/.35 |
| Collana | Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts |
| Soggetto topico | Differential equations |
| ISBN |
1-283-30628-X
9786613306289 1-118-03153-9 1-118-03328-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Principles of Differential Equations; Contents; Preface; 1 Fundamental Theorems; 1.1 Preliminaries; 1.2 Existence; 1.3 Uniqueness; 1.4 Numerical Approximation; 1.5 Continuation; 1.6 Continuity in Initial Conditions; 2 Classical Themes; 2.1 Integrals; 2.2 The Qualitative Point of View; 2.3 Differential Inequalities; 3 Linear Differential Equations; 3.1 Elementary Properties; 3.2 Fundamental Matrix Solutions; 3.3 Higher Order Linear Differential Equations; 3.4 Complex Linear Differential Equations; 4 Constant Coefficients; 4.1 The Exponential of a Matrix; 4.2 Generalized Eigenspaces
4.3 Canonical Forms4.4 Higher Order Equations; 4.5 The Range of the Exponential Map; 5 Stability; 5.1 Stability at Fixed Points; 5.2 Stability and Constant Coefficients; 5.3 Stability and General Linear Systems; 5.4 Linear Systems with Periodic Coefficients; 6 The Poincaré Return Map; 6.1 Local Sections; 6.2 Planar Dynamics; 6.3 Recurrence; 7 Smooth Vector Fields; 7.1 Differentiate Functions; 7.2 Differentiation in Initial Conditions; 7.3 Linearization; 7.4 Hamiltonian Systems; 8 Hyperbolic Phenomenon; 8.1 Hyperbolic Linear Vector Fields; 8.2 Perturbed Hyperbolic Systems 8.3 The Contraction Mapping Principle8.4 Local Stable Manifolds; 9 Bifurcations; 9.1 The Implicit Function Theorem; 9.2 Persistence of Periodic Points; 9.3 Hopf Bifurcations; Bibliography; Index |
| Record Nr. | UNINA-9910829945403321 |
|
Markley Nelson Groh <1940->
|
||
| Hoboken, New Jersey : , : John Wiley & Sons, Inc., , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||