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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 9/1(110), Pages 58–66
(Mi vsgu400)
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This article is cited in 15 scientific papers (total 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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Received: 10.12.2012 Revised: 21.12.2012
Citation:
T. K. Yuldashev, “Inverse problem for a nonlinear integral and differential equation of the third order”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/1(110), 58–66
Linking options:
https://www.mathnet.ru/eng/vsgu400 https://www.mathnet.ru/eng/vsgu/y2013/i91/p58
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