Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities

Bereanu, Cristian
(2008) Journal of Mathematical Analysis and Applications — Vol. 343, n° 2, p. 758-762 (2008)

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  • Bereanu, CristianUCLouvain
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Abstract
In this article, using the Leray-Schauder degree theory, we discuss existence, nonexistence and multiplicity for the periodic solutions of the nonlinear telegraph equation u(tt) - u(xx) + cu(t) + Phi(u) = f(t, x) + s, where c > 0, Phi is an element of C(R), f is an element of C(T-2) and s is a parameter. (c) 2008 Elsevier Inc. All rights reserved.
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Bereanu, C. (2008). Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities. Journal of Mathematical Analysis and Applications, 343(2), 758-762. https://doi.org/10.1016/j.jmaa.2008.02.006 (Original work published 2008)