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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 7, Pages 16–30 (Mi ivm8807)  
This article is cited in 4 scientific papers (total in 4 papers)

A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a singular coefficient

Gulbakhor M. Mirsaburova

Chair of Differential Equations and Geometry, Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan
Full-text PDF (249 kB) Citations (4)
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Abstract: We consider a generalized Tricomi equation with a singular coefficient. For this equation in a mixed domain we study the corresponding problem, where a part of the boundary characteristic is free of boundary conditions; the deficient Tricomi condition is equivalently substituted by a nonlocal Frankl condition on a segment of the degeneration line. We prove that the stated problem is well-posed.
Keywords: gluing condition, uniqueness of solution, Tricomi singular integral equation, isolated singularity of the first order, Wiener–Hopf equation, index, residue.
Received: 13.04.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 7, Pages 13–26
DOI: https://doi.org/10.3103/S1066369X13070025
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Gulbakhor M. Mirsaburova, “A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7, 16–30; Russian Math. (Iz. VUZ), 57:7 (2013), 13–26
Citation in format AMSBIB
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\by Gulbakhor~M.~Mirsaburova
\paper A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a~singular coefficient
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 7
\pages 16--30
\mathnet{http://mi.mathnet.ru/ivm8807}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 7
\pages 13--26
\crossref{https://doi.org/10.3103/S1066369X13070025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879759731}
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    • This publication is cited in the following 4 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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