Maqola

Solution of Cauchy Problem for the Generalized Gellerstedt Equation

Abdumauvlen BerdyshevInstitute of Mathematics, Physics and Computer Science, Abay University and Institute of Information and Computational Technologies, Almaty, KazakhstanAnvar HasanovInstitute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, UzbekistanZh. A. AbdiramanovInstitute of Mathematics, Physics and Computer Science, Abay University and Institute of Information and Computational Technologies, Almaty, Kazakhstan

Lobachevskii Journal of Mathematicsjournal2020en

ABI

Annotatsiya

In this paper, the unique solvability of the Cauchy problem for a generalized hyperbolic Gellersted equation with two lines of degeneracy of different order is studied. A modified initial problem is formulated. By using the Riemann method the solution of this problem is constructed in an explicit form inside characteristic triangle. The constructed Riemann function is expressed by special Appell functions and Gauss hypergeometric functions of two variables.

Mavzular

Differential Equations and Boundary Problems Nonlinear Waves and Solitons advanced mathematical theories

Identifikatorlar

DOI: 10.1134/s199508022009005x

Iqtiboslar va manbalar

2 ta iqtibos 14 ta foydalanilgan manba

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