Handbook of Differential Equations: Ordinary Differential Equations :Ordinary Differential Equations ( Volume 1 )

Publication subTitle :Ordinary Differential Equations

Publication series :Volume 1

Author: Canada   A.;Drabek   P.;Fonda   A.  

Publisher: Elsevier Science‎

Publication year: 2004

E-ISBN: 9780080532820

P-ISBN(Paperback): 9780444511287

P-ISBN(Hardback):  9780444511287

Subject: O175.1 Ordinary Differential Equations

Language: ENG

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Description

The book contains seven survey papers about ordinary differential equations.

The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.

The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

Chapter

Cover

pp.:  1 – 10

Preface

pp.:  6 – 8

List of Contributors

pp.:  8 – 12

Contents

pp.:  10 – 6

Chapter 2. The lower and upper solutions method for boundary value problems

pp.:  80 – 172

Chapter 3. Half-linear differential equations

pp.:  172 – 370

Chapter 4. Radial solutions of quasilinear elliptic differential equations

pp.:  370 – 448

Chapter 5. Integrability of polynomial differential systems

pp.:  448 – 544

Chapter 6. Global results for the forced pendulum equation

pp.:  544 – 602

Chapter 7. Ważewski method and Conley index

pp.:  602 – 696

Author Index

pp.:  696 – 704

Subject Index

pp.:  704 – 710

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