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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 1, Pages 53–59 (Mi ivm9196)  
This article is cited in 1 scientific paper (total in 1 paper)

On a problem with shift for mixed type equation with two degeneration lines

O. A. Repin

Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090 Russia
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Abstract: For mixed type equation with two perpendicular lines of degeneracy we consider the boundary-value problem with nonlocal condition, connecting with the help of generalized operators of fractional integro-differentiation the trace of the normal derivative of the unknown function on the transition line and its own trace on the control characteristics and the line of degeneracy. The author proves the unique solvability of the problem.
Keywords: mixed type equations, nonlocal problem, operator of fractional integration, operator of fractional differentiation, Cauchy problem, Gauss hypergeometric function, Fredholm's integral equation.
Received: 25.06.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 1, Pages 47–52
DOI: https://doi.org/10.3103/S1066369X17010066
Bibliographic databases:
Document Type: Article
UDC: 519.243
Language: Russian
Citation: O. A. Repin, “On a problem with shift for mixed type equation with two degeneration lines”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1, 53–59; Russian Math. (Iz. VUZ), 61:1 (2017), 47–52
Citation in format AMSBIB
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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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