Journal of Dynamics and Differential Equations

, Volume 10, Issue 3, pp 409–424

Existence of Periodic Solutions of an Autonomous Damped Wave Equation in Thin Domains

  • Russell Johnson
  • Mikhail Kamenskii
  • Paolo Nistri
Article

DOI: 10.1023/A:1022601213052

Cite this article as:
Johnson, R., Kamenskii, M. & Nistri, P. Journal of Dynamics and Differential Equations (1998) 10: 409. doi:10.1023/A:1022601213052

Abstract

For a nonlinear autonomous damped wave equation in a thin domain we provide conditions ensuring the existence of periodic solutions in time. Our approach uses both methods developed by Hale and Raugel and methods based on the topological degree theory together with some results on the functionalization of parameter.

Autonomous hyperbolic nonlinear equation periodic solutions topological degree 

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Russell Johnson
    • 1
  • Mikhail Kamenskii
    • 2
  • Paolo Nistri
    • 1
  1. 1.Università degli Studi di Firenze, Facoltà di Ingegneria, Dipartimento di Sistemi e InformaticaFirenze (Italy)
  2. 2.Department of Mathematics, Universitetskaja p.1Voronezh State UniversityVoronezh (Russia)