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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2020 Volume 30, Number 1, Pages 20–30 (Mi vkam389)

This article is cited in 1 paper

MATHEMATICS

Solvability of a non–local problem for a third—order equation with the heat operator in the main par

O. S. Zikirov, M. M. Sagdullayeva

National University of Uzbekistan after named Mirzo Ulugbek

Abstract: In this paper, we considered the solvability of a nonlocal problem with integral condition for a thirdorder equation with head operatot in the main part. The existence and uniqueness of a regular solution to this problem are proved. The proof is based on reducing a non-local problem to the mixed problem for a loaded heat equation

Keywords: boundary–value problem, non–local condition, non–local problem, parabolic equation, Green's function, Volterra integral equation.

UDC: 517.956.4

MSC: Primary 35K20; Secondary 35K35

DOI: 10.26117/2079-6641-2020-30-1-20-30



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