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Coincidence Degree and Nonlinear Differential Equations

  • Book
  • © 1977

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Authors:
  1. Robert E. Gaines
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  2. Jean L. Mawhin
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 568)

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Table of contents (12 chapters)

  1. Front Matter

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  2. Introduction

    • Robert E. Gaines, Jean L. Mawhin
    Pages 1-3

  3. Alternative problems : An historical perspective

    • Robert E. Gaines, Jean L. Mawhin
    Pages 4-9

  4. Coincidence degree for perturbations of Fredholm mappings

    • Robert E. Gaines, Jean L. Mawhin
    Pages 10-25

  5. A generalized continuation theorem and existence theorems for Lx = Nx

    • Robert E. Gaines, Jean L. Mawhin
    Pages 26-35

  6. Two-point boundary value problems : Nonlinearities without special structure

    • Robert E. Gaines, Jean L. Mawhin
    Pages 36-103

  7. Approximation of solutions — The projection method

    • Robert E. Gaines, Jean L. Mawhin
    Pages 104-133

  8. Quasibounded perturbations of Fredholm mappings

    • Robert E. Gaines, Jean L. Mawhin
    Pages 134-150

  9. Boundary-value problems for some semilinear elliptic partial differential equations

    • Robert E. Gaines, Jean L. Mawhin
    Pages 151-165

  10. Periodic solutions of ordinary differential equations with quasibounded nonlinearities and of functional differential equations

    • Robert E. Gaines, Jean L. Mawhin
    Pages 166-188

  11. Coincidence index, multiplicity and bifurcation theory

    • Robert E. Gaines, Jean L. Mawhin
    Pages 189-208

  12. Coincidence degree for k-set contractive perturbations of linear Fredholm mappings

    • Robert E. Gaines, Jean L. Mawhin
    Pages 209-228

  13. Nonlinear perturbations of fredholm mappings of nonzero index

    • Robert E. Gaines, Jean L. Mawhin
    Pages 229-241

  14. Back Matter

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Keywords

Bibliographic Information

  • Book Title: Coincidence Degree and Nonlinear Differential Equations

  • Authors: Robert E. Gaines, Jean L. Mawhin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0089537

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1977

  • Softcover ISBN: 978-3-540-08067-1Published: 01 March 1977

  • eBook ISBN: 978-3-540-37501-2Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 268

  • Topics: Ordinary Differential Equations

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