This article is cited in 1 paper

A problem with a Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a singular coefficient

Mirsaburova Gulnora

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

Abstract: We study a problem with the Frankl and Bitsadze–Samarskii conditions on the elliptic boundary and on the degeneration line for the Gellerstedt equation with a singular coefficient. We prove the correctness of the stated problem.

Keywords: unique solvability, existence of solution, singular coefficient.

UDC: 517.956

Received: 27.12.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:1, 55–60

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