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Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera

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  • © 2013

Overview

Authors:
  1. Anna Capietto

    1. Dipartimento di Matematica, Università di Torino, Torino, Italy

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  2. Peter Kloeden

    1. Institut für Mathematik, Universität Frankfurt, Frankfurt, Germany

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  3. Jean Mawhin

    1. Institut de Recherche, en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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  4. Sylvia Novo

    1. de Valladolid, Departamento de Mátematica Aplicada, E.T.S. de Ingenieros Industriales, Valladolid, Spain

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  5. Rafael Ortega

    1. Departamento de Mátematica Aplicada, Universidad de Granada, Granada, Spain

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  • Up-to-date study of ordinary and functional differential equations
  • Use of topological and dynamical methods and comparison of such methods
  • Speakers are all leading experts in the field

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2065)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
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  2. The Maslov Index and Global Bifurcation for Nonlinear Boundary Value Problems

    • Alberto Boscaggin, Anna Capietto, Walter Dambrosio
    Pages 1-34

  3. Discrete-Time Nonautonomous Dynamical Systems

    • P. E. Kloeden, C. Pötzsche, M. Rasmussen
    Pages 35-102

  4. Resonance Problems for Some Non-autonomous Ordinary Differential Equations

    • Jean Mawhin
    Pages 103-184

  5. Non-autonomous Functional Differential Equations and Applications

    • Sylvia Novo, Rafael Obaya
    Pages 185-263

  6. Twist Mappings with Non-Periodic Angles

    • Markus Kunze, Rafael Ortega
    Pages 265-300

  7. Back Matter

    Pages 301-303
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Keywords

About this book

This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.

Authors and Affiliations

  • Dipartimento di Matematica, Università di Torino, Torino, Italy

    Anna Capietto

  • Institut für Mathematik, Universität Frankfurt, Frankfurt, Germany

    Peter Kloeden

  • Institut de Recherche, en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Jean Mawhin

  • de Valladolid, Departamento de Mátematica Aplicada, E.T.S. de Ingenieros Industriales, Valladolid, Spain

    Sylvia Novo

  • Departamento de Mátematica Aplicada, Universidad de Granada, Granada, Spain

    Rafael Ortega

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