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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kurzweil, Jaroslav
Formato: Electrónico eBook
Idioma:Inglés
Checo
Publicado: Amsterdam ; New York : Elsevier, 1986.
Colección:Studies in applied mechanics ; 13.
Temas:
Acceso en línea:Texto completo
Texto completo

MARC

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100 1 |a Kurzweil, Jaroslav. 
240 1 0 |a Oby�cejn�e diferenci�aln�i rovnice.  |l English 
245 1 0 |a Ordinary differential equations :  |b introduction to the theory of ordinary differential equations in the real domain /  |c Jaroslav Kurzweil. 
260 |a Amsterdam ;  |a New York :  |b Elsevier,  |c 1986. 
300 |a 1 online resource (440 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Studies in applied mechanics ;  |v 13 
504 |a Includes bibliographical references. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
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588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
520 |a 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. 
650 0 |a Differential equations. 
650 6 |a �Equations diff�erentielles.  |0 (CaQQLa)201-0003667 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Differential equations.  |2 fast  |0 (OCoLC)fst00893446 
653 |a Ordinary differential equations 
776 0 8 |i Print version:  |a Kurzweil, Jaroslav.  |s Oby�cejn�e diferenci�aln�i rovnice. English.  |t Ordinary differential equations.  |d Amsterdam ; New York : Elsevier, 1986  |w (DLC) 86006206  |w (OCoLC)13333796 
830 0 |a Studies in applied mechanics ;  |v 13. 
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