Existence of Periodic Solutions of an Autonomous Damped Wave Equation in Thin Domains
- Cite this article as:
- Johnson, R., Kamenskii, M. & Nistri, P. Journal of Dynamics and Differential Equations (1998) 10: 409. doi:10.1023/A:1022601213052
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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.