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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016 Number 2(13), Pages 28–33 (Mi vkam128)

MATHEMATICS

Gellerstedt problem for a parabolic-hyperbolic equation degenerating type and order

Z. S. Madrakhimova

Institute of Мathematics, National University of Uzbekistan, Tashkent, 100125, Academgorodok, Do'rmon yo'li, 29 str.

Abstract: This paper deals with the formulation and study of boundary value Gellerstedt type problem for parabolic-hyperbolic equation with degeneration of the type and order within the area which equivalently reduced to integral equations.

Keywords: Gellerstedta problem, parabolic-equation hyper-parabolic type, type and order of degeneracy, integral equations, integral-differential operator of fractional order, modified Cauchy problem.

UDC: 517.95

MSC: 65M32

Received: 01.06.2016

DOI: 10.18454/2079-6641-2016-13-2-28-33


 English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, 13:2, 25–30

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