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Topological Methods in Differential Equations and Inclusions

  • Book
  • © 1995

Overview

Editors:
  1. Andrzej Granas

    1. Département de mathématiques et de statistique, Université de Montréal, Montréal, Canada
      Faculty of Mathematics and Informatics, Nicholas Copernicus University, Toruń, Poland

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  2. Marlène Frigon

    1. Département de mathématiques et de statistique, Université de Montréal, Montréal, Canada

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  3. Gert Sabidussi

    1. Département de mathématiques et de statistique, Université de Montréal, Montréal, Canada

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Part of the book series: Nato Science Series C: (ASIC, volume 472)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xv
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  2. Nonsmooth critical point theory and quasilinear elliptic equations

    • Annamaria Canino, Marco Degiovanni
    Pages 1-50

  3. Théorèmes d’existence de solutions d’inclusions différentielles

    • Marlène Frigon
    Pages 51-87

  4. Second order differential equations on manifolds and forced oscillations

    • Massimo Furi
    Pages 89-127

  5. Topological approach to differential inclusions

    • Lech Górniewicz
    Pages 129-190

  6. Effects of delays on dynamics

    • Jack K. Hale
    Pages 191-237

  7. Existence principles for differential equations and systems of equations

    • John W. Lee, Donal O’Regan
    Pages 239-289

  8. Continuation theorems and periodic solutions of ordinary differential equations

    • Jean Mawhin
    Pages 291-375

  9. Some applications of the topological degree to stability theory

    • Rafael Ortega
    Pages 377-409

  10. The center manifold technique and complex dynamics of parabolic equations

    • Krzysztof P. Rybakowski
    Pages 411-446

  11. Positive solutions of semilinear elliptic boundary value problems

    • Klaus Schmitt
    Pages 447-500

  12. Cinq cours sur les équations différentielles dans les espaces de Banach

    • Peter Volkmann
    Pages 501-520

  13. Back Matter

    Pages 521-522
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Keywords

About this book

The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.

Editors and Affiliations

  • Département de mathématiques et de statistique, Université de Montréal, Montréal, Canada

    Andrzej Granas, Marlène Frigon, Gert Sabidussi

  • Faculty of Mathematics and Informatics, Nicholas Copernicus University, Toruń, Poland

    Andrzej Granas

Bibliographic Information

  • Book Title: Topological Methods in Differential Equations and Inclusions

  • Editors: Andrzej Granas, Marlène Frigon, Gert Sabidussi

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-011-0339-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1995

  • Hardcover ISBN: 978-0-7923-3678-5Published: 30 September 1995

  • Softcover ISBN: 978-94-010-4150-8Published: 04 October 2012

  • eBook ISBN: 978-94-011-0339-8Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XV, 522

  • Topics: Ordinary Differential Equations, Geometry, Partial Differential Equations, Functional Analysis

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