<p>This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technic
Topological methods in the study of boundary value problems
โ Scribed by Pablo Amster (auth.)
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Leaves
- 226
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Subjects
Partial Differential Equations
๐ SIMILAR VOLUMES
Introduction -- Shooting type methods -- The Banach Fixed Point Theorem.- Schauder's Theorem and applications.- Topological degree: an introduction -- Applications.- Basic facts on metric and normed spaces -- Brief review of ODE's.- Hints and Solutions to Selected Exercises.;This textbook is devoted
In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the s
<p>This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then
This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then pr