Topological Methods in the Study of Boundary Value Problems

• Main Author: Amster, Pablo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Partial differential equations.; Analysis.; Ordinary Differential Equations.; Partial Differential Equations.

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 technical...

Table of Contents:

• 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.