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Nonlinear Analysis
and Differential Equations
An Introduction
Klaus Schmitt,
Russell C. Thompson


Table of Contents 

I  Nonlinear Analysis

Chapter 1. Analysis In Banach Spaces

Chapter 2. The Method of Lyapunov-Schmidt

Chapter 3. Degree Theory

Chapter 4. Global Solution Theorems

II  Ordinary Differential Equations

Chapter 5. Existence and Uniqueness Theorems

Chapter 6. Linear Ordinary Differential Equations

Chapter 7. Periodic Solutions

Chapter 8. Stability Theory

Chapter 9. Invariant Sets

Chapter 10. Hopf Bifurcation

Chapter 11. Sturm-Liouville Boundary Value Problems



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