Applied Physics and Mathematics Annotation << Back ON A CERTAIN PROBLEM FOR A HYPERBOLIC EQUATION WITH A NONLOCAL-INTEGRAL CONDITION M.G. VOLINSKAYA The relevance of the stated topic of this research work is determined by the importance of solving problems with nonlocal integral conditions and the need to use a hyperbolic equation for the qualitative solution of problems of this kind. The purpose of this research work is to determine the key parameters of the problem statement using a hyperbolic equation with a nonlocal integral condition, as well as to build a sequence of operations for competently resolving this equation, using the full set of functions necessary to obtain an integral identity, with which it is possible to obtain a generalized solving the stated problem. The basis of the methodology of this research is a combination of methods of system analysis of existing methods for solving practical problems using hyperbolic equations with a nonlocal integral condition, with an analytical study of the principles of constructing such equations and an assessment of their practical use in solving problems associated with the practical use of hyperbolic equations with nonlocal integral conditions... The main results of this scientific study should be considered the proof of the practical solvability of problems of constructing a hyperbolic equation with uniquely specified local conditions, as well as obtaining a convincing proof of the importance of studying nonlocal boundary value and initial boundary value problems from the point of view of their practical application in computational and applied mathematics. The results of this research work are of great importance for the developers of modern technical systems, in calculating the main parameters of which it is required to use hyperbolic equations with nonlocal integral conditions, which ensures high quality of theoretical calculations and the determination of the main directions for the design of such systems and their further operation. Keywords: applied mathematics, computational operations, numerical algorithm, generalized solution, practical application. DOI: 10.25791/pfim.01.2022.1222 Pp. 38-46.