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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2020 Volume 17, Pages 77–88 (Mi semr1201)

This article is cited in 1 paper

Differentical equations, dynamical systems and optimal control

Solvability of some non–local problems for the loaded pseudoparabolic equation

O. S. Zikirov, D. K. Kholikov

National University of Uzbekistan, 4, Universitetskaya str., Tashkent, 100174, Uzbekistan

Abstract: In this paper we consider solvability of non–local problems for loaded pseudoparabolic equation of third order, with combine problems with integral conditions and problems with Steklov V.A. conditions with variable coefficients. The existence and uniqueness of classical solution of considered problem is proved by Riemann's method.

Keywords: loaded equation, Riemann function, non–local condition, pseudoparabolic equation.

UDC: 517.956.32

MSC: 35M10

Received April 4, 2019, published February 10, 2020

DOI: 10.33048/semi.2020.17.007



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