Nonlocal Problem for Fourth-Order Loaded Hyperbolic Equations

G. A. Abdikalikova, A. T. Assanova, Shirinkyz Tleubergenovna Shekerbekova

2022

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DOI 10.3103/s1066369x22080011
Data confidence 70 medium
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Abstract

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.