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

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 6(80), Pages 69–77 (Mi vsgu195)

Mathematics

On the problem with M. Saigo operators on characteristics for a degenerative hyperbolic equation

S. A. Sayganova

Dept. of Applied Mathematics and Informatics, Samara State Technical University, Samara, 443100, Russian Federation

Abstract: A non-local problem in characteristic domain for a degenerative hyperbolic type equation boundary conditions of which contain generalized operators of fractional integrodifferentiation on characteristics is studied. Unique solvability of the problem is then proved.

Keywords: Gauss function, fractional integrals and derivatives, boundary-value problem, integral equation, Cauchy kernel.

UDC: 517.956.3



© Steklov Math. Inst. of RAS, 2024