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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018 Volume 149, Pages 113–117 (Mi into324)

This article is cited in 5 papers

Boundary-Value Problem for a Loaded Equation of Hyperbolic-Parabolic Type with Degeneracy of Order in the Domain of Hyperbolicity

K. U. Khubiev

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper, we study a boundary-value problem for a loaded equation of hyperbolic-parabolic type with degeneracy of order in the domain of its hyperbolicity. An existence and uniqueness theorem for solutions of this problem is proved and a representation of solutions is presented.

Keywords: loaded equation, mixed-type equation, hyperbolic equation, parabolic equation, boundary-value problem.

UDC: 517.95

MSC: 35M10, 35M12


 English version:
Journal of Mathematical Sciences (New York), 2020, 250:5, 830–834

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