Periodic solutions of systems of hyperbolic equations bounded on a plane
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.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 4, pp 682–694.
Citation Example: Assanova A. T., Dzhumabaev D. S. Periodic solutions of systems of hyperbolic equations bounded on a plane // Ukr. Mat. Zh. - 2004. - 56, № 4. - pp. 562-572.