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JOURNALS // Mathematical notes of NEFU // Archive

Mathematical notes of NEFU, 2016 Volume 23, Issue 2, Pages 19–30 (Mi svfu21)

Mathematics

On some problem for a loaded pseudoparabolic equation of the third order

O. S. Zikirov, D. K. Kholikov

Mirzo Ulugbek Uzbekistan National University, Department of Mathematics and Mechanics, Universitetskaya st., 4, Tashkent 100174, Uzbekiston

Abstract: We study solvability of a non-local problem with integral condition for the loaded pseudoparabolic equation of the third order. The existence and uniqueness of the classical solution of the considered problem is proved by Riemann's method.

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

UDC: 517.956.3

Received: 10.03.2016



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