This article is cited in 2 papers

A combined Tricomi problem and a problem with a shift for the Gellerstedt equation

Gulbakhor Mirsaburova

Chair of Differential Equations and Geometry, Termez State University, Termez, Republic of Uzbekistan

Abstract: We study a combined statement of the F. Tricomi problem and that with a shift by V. I. Zhegalov and A. M. Nakhushev for the Gellerstedt equation with a singular coefficient. We prove the uniqueness of its solution with the help of the extremum principle and do its existence by the method of integral equations.

Keywords: uniqueness of a solution, F. Tricomi integral equation with a shift, Wiener–Hopf equation, index of equation.

UDC: 517.956

Received: 23.05.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:9, 25–38

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