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Periodic solutions of systems of hyperbolic equations bounded on a plane

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For a linear system of hyperbolic equations of the second order with two independent variables, we investigate the problem of the existence and uniqueness of a solution periodic in both variables and a solution periodic in one of the variables and bounded on a plane. By using the method of introduction of functional parameters, we obtain sufficient conditions for the unique solvability of the problems under consideration.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 562–572, April, 2004.

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Asanova, A.T., Dzhumabaev, D.S. Periodic solutions of systems of hyperbolic equations bounded on a plane. Ukr Math J 56, 682–694 (2004). https://doi.org/10.1007/s11253-005-0103-0

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  • DOI: https://doi.org/10.1007/s11253-005-0103-0

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