Abstract:
The article deals with a non-local problem with an integral condition for pseudohyperbolic fourth order equation. The dominant mixed derivative which is presented in the equation allows to interpret the problem as an analogue of the Gurs problem. The conditions for the coefficients of the equation and the input data are obtained to ensure the existence of a single task's decision.
Keywords:non-local problem, Sobolev type equation, Goursat problem, equation with dominant mixed derivative, integral conditions, Boussinesq–Love equations.
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