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Displaying similar documents to “On some boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra”

On the existence of periodic solutions of an hyperbolic equation in a thin domain

Russell Johnson, Mikhail Kamenskii, Paolo Nistri (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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For a nonlinear hyperbolic equation defined in a thin domain we prove the existence of a periodic solution with respect to time both in the non-autonomous and autonomous cases. The methods employed are a combination of those developed by J. K. Hale and G. Raugel and the theory of the topological degree.