Handbook of Differential Equations: Ordinary Differential Equations, Volume 3

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A. Canada, P. Drabek, A. Fonda
Elsevier, Aug 21, 2006 - Mathematics - 752 pages
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This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience.

These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume.

  • Covers a variety of problems in ordinary differential equations
  • Pure mathematical and real world applications
  • Written for mathematicians and scientists of many related fields
 

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Contents

Chapter 2 Heteroclinic Orbits for Some Classes of Second and Fourth Order Differential Equations
103
Chapter 3 A Qualitative Analysis via Lower and Upper Solutions of First Order Periodic Evolutionary Equations with Lack of Uniqueness
203
Chapter 4 Bifurcation Theory of Limit Cycles of Planar Systems
341
Theory and Applications
435
Chapter 6 Global Solution Branches and Exact Multiplicity of Solutions for Two Point Boundary Value Problems
547
Chapter 7 Singularities and Laplacians in Boundary Value Problems for Nonlinear Ordinary Differential Equations
607
Author Index
725
Subject Index
735
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