Abstract
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.
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The paper was supported by the grant of the Ministry of Science and Education of Republic of Kazakhstan through the Research Project no. AP05131026.
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(Submitted by E. K. Lipachev)
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Berdyshev, A.S., Hasanov, A. & Abdiramanov, Z.A. Solution of Cauchy Problem for the Generalized Gellerstedt Equation. Lobachevskii J Math 41, 1762–1771 (2020). https://doi.org/10.1134/S199508022009005X
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DOI: https://doi.org/10.1134/S199508022009005X