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    Mixed problem for a wave equation with an involution perturbation
    (Maltepe Üniversitesi, 2019) Sarsenbi, Abdizhahan; Utelbaeva, Madina
    In the present paper, we study the partial differential equations with involutions. The mixed problems for the hyperbolic type equation, with constant and variable coefficients, with the Dirichlet type boundary conditions is investigated. Sufficient conditions for the initial data are found when the problem under study has a unique solution. The representation of the solution in the form of partial sums of the Fourier series in eigenfunctions is found.