Abstract
We study the conditions of unique solvability of the problem with Dirichlet–Neumann conditions with respect to the time variable in a strip and the conditions of periodicity or almost periodicity with respect to a spatial coordinate for linear hyperbolic equations of higher order with constant coefficients. The solutions of the considered problems in the form of series in systems of orthogonal functions are constructed. To obtain the lower bound for small denominators appearing in the construction of solutions of the problems, we use the metric approach.
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