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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 61–70 (Mi ivm9238)  
This article is cited in 1 scientific paper (total in 1 paper)

Problem with shift on parallel characteristics for Gellerstedt equation with singular coefficient

M. Mirsaburov, S. T. Chorieva

Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan
Full-text PDF (213 kB) Citations (1)
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Abstract: We study correctness for a problem with an analog of Frankl condition on a degeneration line segment and dislocation conditions on parallel characteristics for a singular coefficient Gellerstedt equation. With the help of maximum principle we prove uniqueness of a solution to the problem and with the method of integral equations we prove the existence of a solution to the problem.
Keywords: shift condition, parallel characteristics, analog of Frankl condition, isolated singularities of first order, Wiener–Hopf equation, index.
Received: 22.10.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 5, Pages 52–60
DOI: https://doi.org/10.3103/S1066369X17050073
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. Mirsaburov, S. T. Chorieva, “Problem with shift on parallel characteristics for Gellerstedt equation with singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 61–70; Russian Math. (Iz. VUZ), 61:5 (2017), 52–60
Citation in format AMSBIB
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\pages 61--70
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\issue 5
\pages 52--60
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    • This publication is cited in the following 1 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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