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Topological Degree Methods in Nonlinear Boundary Value Problems
Jean Mawhin
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1979; 122 pp; softcover
Number: 40
Reprint/Revision History:
reprinted 1981, reprinted 2005
ISBN-10: 0-8218-1690-X
ISBN-13: 978-0-8218-1690-5
List Price: US$22
Member Price: US$17.60
All Individuals: US$17.60
Order Code: CBMS/40
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This volume contains expository lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. The conference was supported by the National Science Foundation.

The main theme of this monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an extensive bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.

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Reviews

"A beautiful and clearly written monograph which provides an easy access to several very active research areas of nonlinear differential equations and nonlinear analysis."

-- K. Schmitt, Mathematical Reviews

Table of Contents

  • Introduction
  • Suggestions for the readerSuggestions for the reader
  • Fredholm mappings of index zero and linear boundary value problems
  • Degree theory for some classes of mappings
  • Duality theorems for several fixed point operators associated to periodic problems for ordinary differential equations
  • Existence theorems for equations in normed spaces
  • Boundary value problems for second order nonlinear vector differential equations
  • Periodic solutions of ordinary differential equations with one-sided growth restrictions
  • Bound sets for functional differential equations
  • The index of isolated zeros of some mappings
  • Bifurcation theory
  • Periodic solutions of autonomous ordinary differential equations around an equilibrium
  • References
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