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Scientific reports of Bukhara State University

Article Title

THE PROBLEM OF DETERMINING A KERNEL IN A MULTIDIMENSIONAL INTEGRO-DIFFERENTIAL EQUATION OF HEAT CONDUCTION

Abstract

In this article, we studied the inverse problem of finding the integral kernel for the multidimensional integro-differential heat equation. In the space of continuous functions with weight, the existence and uniqueness theorem for the stated problem is proved for an optional interval of function definition. In this paper, we study the problem of determining the core in a multidimensional heat equation for an arbitrary interval.