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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 4, Pages 17–25 (Mi ivm8986)  
This article is cited in 8 scientific papers (total in 8 papers)

Correctness of a problem with initial conditions for parabolic differential-difference equations with shifts of time argument

A. Yaakbarieha, V. Zh. Sakbaevb

a Chair of Differential Equations and Mathematical Physics, Peoples' Friendship University of Russia, 6 Mikluho-Maklaya str., Moscow, 117198 Russia
b Chair of Higher Mathematics, Moscow Institute of Physics and Technology, 9 Institutskii lane, Dolgoprudnyi, Moscow oblast, 141700 Russia
Full-text PDF (209 kB) Citations (8)
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Abstract: In this paper we consider the problem with initial conditions on semiaxis for differential-difference equation of parabolic type with deviation of time argument. We obtain sufficient condition of correct solvability of the problem in Sobolev space with exponential weight. In terms of spectrum of operator of the problem, we obtain necessary conditions of correct solvability, sufficient conditions of absence of solution and sufficient conditions of solutions nonuniqueness.
Keywords: differential-difference equation, Sobolev space with weight, correct solvability.
Received: 28.10.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 4, Pages 13–19
DOI: https://doi.org/10.3103/S1066369X15040027
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. Yaakbarieh, V. Zh. Sakbaev, “Correctness of a problem with initial conditions for parabolic differential-difference equations with shifts of time argument”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 4, 17–25; Russian Math. (Iz. VUZ), 59:4 (2015), 13–19
Citation in format AMSBIB
\Bibitem{YaaSak15}
\by A.~Yaakbarieh, V.~Zh.~Sakbaev
\paper Correctness of a~problem with initial conditions for parabolic differential-difference equations with shifts of time argument
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 4
\pages 17--25
\mathnet{http://mi.mathnet.ru/ivm8986}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 4
\pages 13--19
\crossref{https://doi.org/10.3103/S1066369X15040027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925776371}
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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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    Full-text PDF :96
    References:67
    First page:32
     
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