Bulletin KRASEC. Phys. & Math. Sci. 2016. V. 13. no. 2. pp. 25-30. ISSN 2313-0156
DOI: 10.18454/2313-0156-2016-13-2-25-30
MSC 65M32
GELLERSTEDT PROBLEM FOR A PARABOLIC-HYPERBOLIC EQUATION WITH
DEGENERACY OF TYPE AND ORDER
Z. S. Madrakhimova
Institute of Мathematics, National University of Uzbekistan, Tashkent, 100125, Academgorodok, Do’rmon yo’li, 29 str.
E-mail: zilolaxonmadrahimova@gmail.com
This paper deals with the formulation and study of a boundary value Gellerstedt problem for parabolic-hyperbolic equation with degeneracy of type and order within a domain which is equivalently reduced to integral equations.
Key words: Gellerstedt problem, parabolic-hyperbolic equation, degeneracy of type and order, integral equations, integral-differential operator of fractional order, modified Cauchy problem.
References
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For citation: Madrakhimova Z. S. Gellerstedt problem for a parabolic-hyperbolic equation with degeneracy of type and order. Bulletin KRASEC. Physical and Mathematical Sciences 2016, vol. 13, no 2, 25-30. DOI: 10.18454/2313-0156-2016-13-2-25-30.
Original article submitted: 01.06.2016
Madrakhimova Zilolakhon Sodikzhonovna – Ph.D.(Phys & Math), Senior Lecturer, Department of differential equations and mathematical physics, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Republic of Uzbekistan.
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