<p><span>Boundary value problems play a significant role in modeling systems characterized by established conditions at their boundaries. On the other hand, initial value problems hold paramount importance in comprehending dynamic processes and foreseeing future behaviors. The fusion of these two ty
Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations
β Scribed by F. Zanolin (eds.)
- Publisher
- Springer-Verlag Wien
- Year
- 1996
- Tongue
- English
- Leaves
- 214
- Series
- International Centre for Mechanical Sciences 371
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The area covered by this volume represents a broad choice of some interesting research topics in the field of dynamical systems and applications of nonlinear analysis to ordinary and partial differential equations. The contributed papers, written by well known specialists, make this volume a useful tool both for the experts (who can find recent and new results) and for those who are interested in starting a research work in one of these topics (who can find some updated and carefully presented papers on the state of the art of the corresponding subject).
β¦ Table of Contents
Front Matter....Pages ii-ix
Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results....Pages 1-78
Boundary Value Problems for Quasilinear Second Order Differential Equations....Pages 79-119
Bounded Solutions of Nonlinear Ordinary Differential Equations....Pages 121-147
Hyperbolic Structures in ODEβs and Their Discretization with an Appendix on Differentiability Properties of the Inversion Operator....Pages 149-173
The Conley Index and Rigorous Numerics....Pages 175-195
On Geometric Detection of Periodic Solutions and Chaos....Pages 197-209
Back Matter....Pages 211-211
β¦ Subjects
Appl.Mathematics/Computational Methods of Engineering
π SIMILAR VOLUMES
The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the bo
This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Nu