Table of contents for Differential equations : mathematical methods for ordinary and partial differential equations / A.C. King, J. Billingham and S.R. Otto.

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Part I. Linear Equations: 1. Variable coefficient, second-order, linear ordinary differential equations
2. Legendre functions
3. Bessel functions
4. Boundary value problems, Green's functions and Sturm-Liouville theory
5. Fourier series and the Fourier transform
6. Laplace transforms
Part II. Nonlinear Equations and Advanced Techniques: 7. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations
8. Nonlinear ordinary differential equations
9. Group theoretical methods
10. Asymptotic methods: basic ideas
11. Asymptotic methods: differential equations
12. Stability, instability and bifurcations
13. Time-optimal control in the phase plane
14. An introduction to chaotic systems
Appendix 1. Linear algebra
Appendix 2. Continuity and differentiability
Appendix 3. Power series
Appendix 4. Sequences of functions
Appendix 5. Ordinary differential equations
Appendix 6. Complex variables
Appendix. A short introduction to MATLAB

Library of Congress subject headings for this publication: Differential equations