Topological Methods in the Study of Boundary Value Problems
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...
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| Natura: | Elettronico eBook |
| Lingua: | English |
| Pubblicazione: |
New York, NY :
Springer US : Imprint: Springer,
2014.
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| Edizione: | 1st ed. 2014. |
| Serie: | Universitext,
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| Soggetti: | |
| Accesso online: | https://doi.org/10.1007/978-1-4614-8893-4 |
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Sommario:
- 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.