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Scientific reports of Bukhara State University

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.

First Page

11

Last Page

17

DOI

10.52297/2181-1466/2019/3/3/2

References

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3. Durdiev D.K. Obratnoe zadachi dlya sred s posledeystviem. - T.: TURON-IQBOL, 2014. - 232 s.

4. Durdiyev D.Q., Jumayev J.J. O`ng tomoni integral hadli issiqlik o`tkazuvchanlikning integro-defferensial tenglamasi. - Buxoro: BuxDU ilmiy axboroti, 2016. - B. 14-21.

5. MixaylovV.P. Differentsialnoe uravneniya v chastnix proizvodnix. - M.: Nauka, 1976. - 391 s.

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