Ordinary Differential Equations - Brossura

Hartman, Philip

Brossura

ISBN 10: 0898715105 ISBN 13: 9780898715101

Casa editrice: Society for Industrial and Applied Mathematics, 1987

Riassunto

Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, Ordinary Differential Equations presents the basic theory of ODEs in a general way, making it a valuable reference. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems.

Su questo libro

Descrizione del libro:

Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily.

Contenuti:

Foreword to the Classics Edition; Preface to the First Edition; Preface to the Second Edition; Errata; I: Preliminaries; II: Existence; III: Differential In qualities and Uniqueness; IV: Linear Differential Equations; V: Dependence on Initial Conditions and Parameters; VI: Total and Partial Differential Equations; VII: The Poincaré-Bendixson Theory; VIII: Plane Stationary Points; IX: Invariant Manifolds and Linearizations; X: Perturbed Linear Systems; XI: Linear Second Order Equations; XII: Use of Implicity Function and Fixed Point Theorems; XIII: Dichotomies for Solutions of Linear Equations; XIV: Miscellany on Monotomy; Hints for Exercises; References; Index.

Su questa edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1987
• ISBN 10: 0898715105
• ISBN 13: 9780898715101
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 632