Nonlocal Problem for Fourth-Order Loaded Hyperbolic Equations

Abdikalikova G.A. Assanova A.T. Shekerbekova S.T.
August 2022 Pleiades Publishing

Russian Mathematics
2022 #66 Issue 8 1 - 18 pp.

Abstract: We consider the nonlocal problem for fourth-order loaded hyperbolic equations with two independent variables. This problem is reduced to an equivalent problem consisting of a nonlocal problem for a system of loaded hyperbolic equations of the second order with functional parameters and integral relations by the method of introducing new unknown functions. Algorithms for finding solution to the equivalent problem are proposed. Conditions for well-posedness to the nonlocal problem for the system of loaded hyperbolic equations of the second order are obtained. Conditions for the existence of a unique classical solution to the nonlocal problem for fourth-order loaded hyperbolic equations are established.

algorithm , fourth-order loaded hyperbolic equation , nonlocal problem , problem with parameter , solvability , system of loaded hyperbolic equations

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Zhubanov Aktobe Regional University, Aktobe, 030000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050012, Kazakhstan
Abai Kazakh National Pedagogical University, Almaty, 050012, Kazakhstan

Zhubanov Aktobe Regional University
Institute of Mathematics and Mathematical Modeling
Abai Kazakh National Pedagogical University

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