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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2016, Number 4-1(16), Pages 72–79
DOI: https://doi.org/10.18454/2079-6641-2016-16-4-1-72-79 (Mi vkam180) 		 
MATHEMATICS

The Сauchy problem for a regular continuous differential equation of second order with regularized derivatives of segment order

B. I. Efendiev

Institute of Applied Mathematics and Automation
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DOI: https://doi.org/10.18454/2079-6641-2016-16-4-1-72-79
Abstract: In this work we build a fundamental solution to a regular continuous differential equation of second order with regularized derivatives of segment order and find an explicit solution to Cauchy problem in terms of fundamental solution.
Keywords: Cauchy problem, the continuous differential equation regularized derivative segment of the order, the fundamental solution.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462
Received: 16.11.2016
Bibliographic databases:
Document Type: Article
UDC: 517.925.4
MSC: 34L99
Language: Russian
Citation: B. I. Efendiev, “The Сauchy problem for a regular continuous differential equation of second order with regularized derivatives of segment order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 4-1(16), 72–79
Citation in format AMSBIB
\Bibitem{Efe16}
\by B.~I.~Efendiev
\paper The Сauchy problem for a regular continuous differential equation of second order with regularized derivatives of segment order
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 4-1(16)
\pages 72--79
\mathnet{http://mi.mathnet.ru/vkam180}
\crossref{https://doi.org/10.18454/2079-6641-2016-16-4-1-72-79}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3605635}
\elib{https://elibrary.ru/item.asp?id=27410592}
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