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 Izv. Vyssh. Uchebn. Zaved. Mat., 2020, Number 1, Pages 64–83 (Mi ivm9537)

Problem with nonlocal conditions on parts of the boundary characteristics and on the degeneracy segment for Gellerstedt equation with singular coefficient

G. M. Mirsaburova

Termez State University, 43 Barkamol Avlod str., Termez, 190111 Republic of Uzbekistan

Abstract: We prove theorems of uniqueness and existence of solution of the problem with nonlocal conditions on parts of boundary characteristics and a condition of the type of the Frankl condition on the degeneracy segment of the equation for Gellerstedt equation with singular coefficient.

Keywords: nonlocal condition, Frankl type condition, Tricomi singular integral equation, Wiener–Hopf equation.

DOI: https://doi.org/10.26907/0021-3446-2020-1-64-83

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UDC: 517.968
Revised: 30.09.2018
Accepted: 25.09.2019

Citation: G. M. Mirsaburova, “Problem with nonlocal conditions on parts of the boundary characteristics and on the degeneracy segment for Gellerstedt equation with singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 1, 64–83

Citation in format AMSBIB
\Bibitem{Mir20} \by G.~M.~Mirsaburova \paper Problem with nonlocal conditions on parts of the boundary characteristics and on the degeneracy segment for Gellerstedt equation with singular coefficient \jour Izv. Vyssh. Uchebn. Zaved. Mat. \yr 2020 \issue 1 \pages 64--83 \mathnet{http://mi.mathnet.ru/ivm9537} \crossref{https://doi.org/10.26907/0021-3446-2020-1-64-83}