Time-periodic solutions of telegraph equations in spatial variables
Hana Petzeltová, Milan Štědrý (1984)
Časopis pro pěstování matematiky
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Hana Petzeltová, Milan Štědrý (1984)
Časopis pro pěstování matematiky
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Hana Petzeltová (1973)
Czechoslovak Mathematical Journal
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Eduard Feireisl (1987)
Aplikace matematiky
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In this paper, the system consisting of two nonlinear equations is studied. The former is hyperbolic with a dissipative term and the latter is elliptic. In a special case, the system reduces to the approximate model for the damped transversal vibrations of a string proposed by G. F. Carrier and R. Narasimha. Taking advantage of accelerated convergence methods, the existence of at least one time-periodic solution is stated on condition that the right-hand side of the system is sufficiently...