E. A. Maksimova, “Solution of the Cauchy problem for system of the Euler-Poisson-Darboux equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 3(24),Pages <nobr>167

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Short Communication
Differential Equations

Solution of the Cauchy problem for system of the Euler-Poisson-Darboux equations

E. A. Maksimova

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: The system of Euler–Poisson–Darboux equations is considered, the Cauchy problem is solved for the case, when characteristic numbers of matrix–coefficient are complex conjugate and having real part in the interval $(-1/2, 0)$.

Keywords: Riemann method, the Cauchy problem, partial differential equations, Euler–Poisson–Darboux equation.

UDC: 517.956.3

MSC: 35L52

Original article submitted 21/III/2011
revision submitted – 23/VIII/2011

DOI: 10.14498/vsgtu999