Abstract:
In this paper, we study a nonlocal problem with an integral condition for a one-dimensional hyperbolic equation arising in the study of vibrations of the rod. The conditions for the input data providing unambiguous solvability of the problem are obtained, the proof of the existence and uniqueness of the solution of the problem is carried out.
Keywords:hyperbolic equation, nonlocal proiblem, integral conditions, uniqueness of the solution, solvability of the problem.
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