Topological Methods in the Study of Boundary Value Problems

• Κύριος συγγραφέας: Amster, Pablo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US : Imprint: Springer, 2014.
• Σειρά: Universitext,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.