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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013 Issue 9/1(110), Pages 58–66 (Mi vsgu400)

This article is cited in 15 papers

Mathematics

Inverse problem for a nonlinear integral and differential equation of the third order

T. K. Yuldashev

The Dept. of Higher Mathematics, Siberian State Aerospace University, Krasnoyarsk, 660014, Russian Federation

Abstract: In this paper a method of study of inverse problem for a nonlinear partial integral and differential equation of the third order is proposed. A theorem on the existence and uniqueness of solution of this inverse problem is proved.

Keywords: inverse problem, nonlinear integral and differential equation, superposition of differential operators, nonlinear method of characteristics, existence and uniqueness of solution.

UDC: 517.95

Received: 10.12.2012
Revised: 21.12.2012



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