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Topological Degree Methods in Nonlinear Boundary Value Problems

About this Title

Jean Mawhin

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1979; Volume 40
ISBNs: 978-0-8218-1690-5 (print); 978-1-4704-2400-8 (online)
DOI: https://doi.org/10.1090/cbms/040
MathSciNet review: MR525202
MSC: Primary 47H15; Secondary 34-02, 55M25, 58C30

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Table of Contents

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Front/Back Matter

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Chapters

• 1. Introduction
• 2. Suggestions for the reader
• Chapter I. Fredholm mappings of index zero and linear boundary value problems
• Chapter II. Degree theory for some classes of mappings
• Chapter III. Duality theorems for several fixed point operators associated to periodic problems for ordinary differential equations
• Chapter IV. Existence theorems for equations in normed spaces
• Chapter V. Boundary value problems for second order nonlinear vector differential equations
• Chapter VI. Periodic solutions of ordinary differential equations with one-sided growth restrictions
• Chapter VII. Bound sets for functional differential equations
• Chapter VIII. The index of isolated zeros of some mappings
• Chapter IX. Bifurcation theory
• Chapter X. Periodic solutions of autonomous ordinary differential equations around an equilibrium