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Ordinary differential equations : introduction to the theory of ordinary differential equations in the real domain /
The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approac...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Checo |
| Publicado: |
Amsterdam ; New York :
Elsevier,
1986.
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| Colección: | Studies in applied mechanics ;
13. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Ordinary Differential Equations: Introduction to the Theory of Ordinary Differential Equations in the Real Domain; Copyright Page; PREFACE; Table of Contents; REMARKS ON ENUMERATION OF FORMULAE; REMARKS ON THE ENGLISH EDITION; PRELIMINARIES; CHAPTER 1. INTRODUCTION; CHAPTER 2. ON ELEMENTARY METHODS OF INTEGRATION; CHAPTER 3. SYSTEMS OF DIFFERENTIAL EQUATIONS, VECTOR NOTATION; CHAPTER 4. LINEAR DIFFERENTIAL EQUATIONS; CHAPTER 5. AUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS; CHAPTER 6. PERIODIC LINEAR DIFFERENTIAL EQUATIONS; CHAPTER 7. SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS
- CHAPTER 8. ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONSCHAPTER 9. LINEAR BOUNDARY VALUE PROBLEMS; CHAPTER 10. LOCAL EXISTENCE OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS. KNESER THEOREM. FUKUHARA THEOREM; CHAPTER 11. UNIQUENESS; CHAPTER 12. GLOBAL PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS; CHAPTER 13. DIFFERENTIABILITY OF THE SOLUTION WITH RESPECT TO INITIAL CONDITIONS; CHAPTER 14. DEPENDENCE OF THE SOLUTION ON A PARAMETER; CHAPTER 15. EXPONENTIAL STABILITY. HYPERBOLIC POINT, UNSTABLE AND STABLE MANIFOLD
- CHAPTER 16. FIRST INTEGRALS. PARTIAL DIFFERENTIAL EQUATIONSCHAPTER 17. AUTONOMOUS SYSTEMS OF TWO DIFFERENTIAL EQUATIONS; CHAPTER 18. CARATH�EODORY THEORY OF DIFFERENTIAL EQUATIONS DIFFERENTIAL RELATIONS; APPENDICES; REFERENCES; INDEX OF SYMBOLS; INDEX