UID:
edocfu_9960073713502883
Format:
1 online resource (441 p.)
ISBN:
1-4832-9765-9
Series Statement:
Studies in Applied Mechanics ; 13
Content:
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
Note:
Description based upon print version of record.
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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
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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
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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
,
English
Additional Edition:
ISBN 1-322-47928-3
Additional Edition:
ISBN 0-444-99509-9
Language:
English
