Document Zbl 0544.35011

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Time-periodic solutions of telegraph equations in n spatial variables. (English) Zbl 0544.35011

Čas. Pěst. Mat. 109, 60-73 (1984).

In this paper the authors extend a result of P. H. Rabinowitz [Commun. Pure Appl. Math. 22, 15-39 (1969; Zbl 0157.173)] on the existence of periodic solutions of certain nonlinear hyperbolic partial differential equations from one space dimension to several space dimensions. Their proof is based on a theorem of J. Moser [Proc. Natl. Acad. Sci. USA 47, 1824-1831 (1961; Zbl 0104.305)].

Reviewer: Simeon Reich

Cited in 7 Documents

MSC:

35B10	Periodic solutions to PDEs
35L70	Second-order nonlinear hyperbolic equations
35A05	General existence and uniqueness theorems (PDE) (MSC2000)

Keywords:

telegraph equations; existence; periodic solutions

Citations:

Zbl 0157.173; Zbl 0104.305

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