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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 9, Pages 70–82
DOI: https://doi.org/10.26907/0021-3446-2022-9-70-82 (Mi ivm9813) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient

U. M. Mirsaburova

Termez State University, 43 Barkamol avlod str., Termez, 190111 Republic of Uzbekistan
Full-text PDF (400 kB) Citations (8)
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DOI: https://doi.org/10.26907/0021-3446-2022-9-70-82
Abstract: In an unbounded domain, for the Gellerstedt equation with a singular coefficient, uniqueness and existence theorems for the solution of a problem with displacement condition on the internal characteristics and a condition like the Frankl condition on the degeneration segment of the equation are proved.
Keywords: unbounded domain, displacement conditions on internal characteristics, Tricomi singular integral equation with displacement in the "nonsingular", part of the kernel, non-Fredholm operator in the non-characteristic part of the equation, Wiener-Hopf equation, residue, index.
Received: 01.10.2021
Revised: 16.11.2021
Accepted: 23.12.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 9, Pages 58–70
DOI: https://doi.org/10.3103/S1066369X22090079
Document Type: Article
UDC: 517.956
Language: Russian
Citation: U. M. Mirsaburova, “A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9, 70–82; Russian Math. (Iz. VUZ), 66:9 (2022), 58–70
Citation in format AMSBIB
\Bibitem{Mir22}
\by U.~M.~Mirsaburova
\paper A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 9
\pages 70--82
\mathnet{http://mi.mathnet.ru/ivm9813}
\crossref{https://doi.org/10.26907/0021-3446-2022-9-70-82}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 9
\pages 58--70
\crossref{https://doi.org/10.3103/S1066369X22090079}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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