Article Title

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

Authors

Durdimurod Kalandarovich Durdiev, professor of the department of mathematics, doctor of physics and mathematics, BSU
Zhonibek Zhamolovich Zhumaev, doctoral student, BSU

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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2. Romanov V.G. Ustoychivost v obratnix zadachax. - M.: Nauchniy Mir, 2005. - 296 s.

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.

Recommended Citation

Durdiev, Durdimurod Kalandarovich and Zhumaev, Zhonibek Zhamolovich (2020) "THE PROBLEM OF DETERMINING A KERNEL IN A MULTIDIMENSIONAL INTEGRO-DIFFERENTIAL EQUATION OF HEAT CONDUCTION," Scientific reports of Bukhara State University: Vol. 3 : Iss. 3 , Article 2.
DOI: 10.52297/2181-1466/2019/3/3/2
Available at: https://uzjournals.edu.uz/buxdu/vol3/iss3/2