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Ordinary differential equations : introduction to the theory of ordinary differential equations in the real domain
Title:
Ordinary differential equations : introduction to the theory of ordinary differential equations in the real domain
Author:
Kurzweil, Jaroslav.
ISBN:
9781483297651
Personal Author:
Uniform Title:
Obyčejné diferenciální rovnice. English
Publication Information:
Amsterdam ; New York : Elsevier, 1986.
Physical Description:
1 online resource (440 pages) : illustrations
Series:
Studies in applied mechanics ; 13
Studies in applied mechanics ; 13.
Contents:
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. CARATHÉODORY THEORY OF DIFFERENTIAL EQUATIONS DIFFERENTIAL RELATIONS; APPENDICES; REFERENCES; INDEX OF SYMBOLS; INDEX
Abstract:
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 approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Car.
Genre:
Electronic Access:
ScienceDirect https://www.sciencedirect.com/science/book/9780444995094 ScienceDirect https://www.sciencedirect.com/science/bookseries/09225382/13Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA372 .K9813 1986 | 1182035-1001 | Elsevier E-Book Collections | Searching... |
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