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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2010 Issue 3, Pages 127–134 (Mi izkab654)

MATHEMATICS. MATHEMATIC MODELING

Boundary problem for one equation of the mixed type with order degeneration

Z. V. Kudaeva

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper validity remark consering underdefinitness of boundary value problem as Asen C. Radoikov set it for one parabolic-hyperbolic equation of second order is proved as well as theorem of existence and solution uniqueness of this problem in its modified setting.

Keywords: non-local boundary problem, equation of the mixed type with order degeneration, equation of parabolic type of the second order, equation of hyperbolic type.

UDC: 517.95

Received: 19.04.2010



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