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Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems
About this Title
Stuart P. Hastings, University of Pittsburgh, Pittsburgh, PA and J. Bryce McLeod, Oxford University, Oxford, England
Publication: Graduate Studies in Mathematics
Publication Year:
2012; Volume 129
ISBNs: 978-0-8218-4694-0 (print); 978-0-8218-8485-0 (online)
DOI: https://doi.org/10.1090/gsm/129
MathSciNet review: MR2865597
MSC: Primary 34-01; Secondary 34B15, 34B16, 34C28
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Introduction
- Chapter 2. An introduction to shooting methods
- Chapter 3. Some boundary value problems for the Painlevé transcendents
- Chapter 4. Periodic solutions of a higher order system
- Chapter 5. A linear example
- Chapter 6. Homoclinic orbits of the FitzHugh-Nagumo equations
- Chapter 7. Singular perturbation problems—rigorous matching
- Chapter 8. Asymptotics beyond all orders
- Chapter 9. Some solutions of the Falkner-Skan equation
- Chapter 10. Poiseuille flow: Perturbation and decay
- Chapter 11. Bending of a tapered rod; variational methods and shooting
- Chapter 12. Uniqueness and multiplicity
- Chapter 13. Shooting with more parameters
- Chapter 14. Some problems of A. C. Lazer
- Chapter 15. Chaotic motion of a pendulum
- Chapter 16. Layers and spikes in reaction-diffusion equations, I
- Chapter 17. Uniform expansions for a class of second order problems
- Chapter 18. Layers and spikes in reaction-diffusion equations, II
- Chapter 19. Three unsolved problems