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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2011 Issue 5, Pages 51–56 (Mi vyurm238)

This article is cited in 4 papers

Mathematics

Inverse boundary problem for a partial differential equation of fourth order with integral condition

Ya. T. Mehraliyev

Baku State University

Abstract: In the article the author analyses one inverse boundary problem for a partial differential equation of fourth order with integral condition. First, an original problem is reduced to the equivalent problem, the theorem of existence and uniqueness of solution is proved for the latter. Then, using these facts the author proves existence and uniqueness of classical solution of the original problem.

Keywords: inverse problem, differential equations, existence, uniqueness, classical solution.

UDC: 517.95

Received: 13.05.2011



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