IJPAM: Volume 103, No. 2 (2015)

THE SOLUTION OF THE DARBOUX PROBLEM FOR
THE TELEGRATH EQUATION WITH DEVIATION
FROM THE CHARACTERISTIC

Andrey Akimov$^1$, Guzeliya Galiaskarova$^2$
$^{1,2}$Bashkir State University Sterlitamak Branch
453103, Lenina Street, 47A, Sterlitamak, RUSSIA


Abstract. The article deals with the problem of constructing solution of the Darboux problem for telegraph equation for the case with deviation from the characteristic. Preliminarily was constructed Riemann-Hadamard function. Then using the Riemann-Hadamard was constructed a solution of the Darboux problem explicitly.

Received: June 17, 2015

AMS Subject Classification: 35L20, 35L99

Key Words and Phrases: Darboux problem, the Riemann-Hadamard function, telegraph equation

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DOI: 10.12732/ijpam.v103i2.20 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 2
Pages: 377 - 383


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