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

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2018 Volume 24, Issue 4, Pages 24–28 (Mi vsgu595)

Mathematics

About one task with a nonlocal condition on time variable for the hyperbolic equation

S. V. Kirichenko

Samara State University of Railway Transport, 18, 1st Besymanniy per., Samara, 443066, Russian Federation

Abstract: In this article, boundary value problem for hyperbolic equation with nonlocal initial data in integral form is considered. The main result is that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation. This fact helps to prove the uniqueness of a solution to the problem.

Keywords: hyperbolic equation, nonlocal conditions, second kind integral condition.

UDC: 517.956

Received: 11.09.2018

DOI: 10.18287/2541-7525-2018-24-4-24-28



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© Steklov Math. Inst. of RAS, 2024