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Stability and periodic solutions of ordinary and functional differential equations /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Orlando :
Academic Press,
1985.
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| Colección: | Mathematics in science and engineering ;
v. 178. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Stability and Periodic Solutions of Ordinary and Functional Differential Equations; Copyright Page; Contents; Preface; Chapter 0 An Overview; 0.1 Survey of Chapter 1; 0.2 Survey of Chapter 2; 0.3 Survey of Chapter 3; 0.4 Survey of Chapter 4; Chapter 1 Linear Differential and Integrodifferential Equations; 1.0 The General Setting; 1.1 Linear Ordinary Differential Equations; 1.2 Periodic Solutions of Linear Differential Equations; 1.3 Linear Volterra Equations; 1.4 Periodic Solutions of Convolution Equations; 1.5 Periodic Solutions of Nonconvolution Equations.
- 1.6 Stability and BoundednessChapter 2 History, Motivation, Examples; 2.1 Classical Second-Order Equations; 2.2 Problems with a Delay; 2.3 Biology, Economics, and Epidemics; 2.4 Sources of Models; Chapter 3 Fixed-Point Theory; 3.1 Compactnes in Metric Spaces; 3.2 Contraction Mappings; 3.3 Existence Theorems for Linear Equations; 3.4 Schauder's Fixed-Point Theorem; 3.5 Existence Theorems for Nonlinear Equations; Chapter 4 Limit Sets, Periodicity, and Stability; 4.1 Ordinary Differential Equations; 4.2 Equations with Bounded Delays; 4.3 Volterra Equations with Infinite Delay.
- 4.4 Stability of Systems with Unbounded DelaysReferences; Author Index; Subject Index.