Ordinary Differential Equations
eBook - PDF

Ordinary Differential Equations

Introduction to the Theory of Ordinary Differential Equations in the Real Domain

  1. 440 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Ordinary Differential Equations

Introduction to the Theory of Ordinary Differential Equations in the Real Domain

About this book

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, Carathéodory's theory and differential relations.The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.

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Yes, you can access Ordinary Differential Equations by J. Kurzweil in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
Print ISBN
9780444995094
eBook ISBN
9781483297651
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Ordinary Differential Equations: Introduction to the Theory of Ordinary Differential Equations in the Real Domain
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. REMARKS ON ENUMERATION OF FORMULAE
  7. REMARKS ON THE ENGLISH EDITION
  8. PRELIMINARIES
  9. CHAPTER 1. INTRODUCTION
  10. CHAPTER 2. ON ELEMENTARY METHODS OF INTEGRATION
  11. CHAPTER 3. SYSTEMS OF DIFFERENTIAL EQUATIONS, VECTOR NOTATION
  12. CHAPTER 4. LINEAR DIFFERENTIAL EQUATIONS
  13. CHAPTER 5. AUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS
  14. CHAPTER 6. PERIODIC LINEAR DIFFERENTIAL EQUATIONS
  15. CHAPTER 7. SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS
  16. CHAPTER 8. ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
  17. CHAPTER 9. LINEAR BOUNDARY VALUE PROBLEMS
  18. CHAPTER 10. LOCAL EXISTENCE OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS. KNESER THEOREM. FUKUHARA THEOREM
  19. CHAPTER 11. UNIQUENESS
  20. CHAPTER 12. GLOBAL PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS
  21. CHAPTER 13. DIFFERENTIABILITY OF THE SOLUTION WITH RESPECT TO INITIAL CONDITIONS
  22. CHAPTER 14. DEPENDENCE OF THE SOLUTION ON A PARAMETER
  23. CHAPTER 15. EXPONENTIAL STABILITY. HYPERBOLIC POINT, UNSTABLE AND STABLE MANIFOLD
  24. CHAPTER 16. FIRST INTEGRALS. PARTIAL DIFFERENTIAL EQUATIONS
  25. CHAPTER 17. AUTONOMOUS SYSTEMS OF TWO DIFFERENTIAL EQUATIONS
  26. CHAPTER 18. CARATHÉODORY THEORY OF DIFFERENTIAL EQUATIONS DIFFERENTIAL RELATIONS
  27. APPENDICES
  28. REFERENCES
  29. INDEX OF SYMBOLS
  30. INDEX