Abstract semilinear equations with small parameter
Sova, Miroslav
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Displaying similar documents to “A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations”
Abstract semilinear equations with small parameter
Remarks on Krasnoselskii bifurcation theorem
Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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New solutions of equations on
Edward Norman Dancer (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Bifurcation of free vibrations for completely resonant wave equations
Massimiliano Berti, Philippe Bolle (2004)
Bollettino dell'Unione Matematica Italiana
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We prove existence of small amplitude, 2p/v-periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.