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Reports of Adyghe (Circassian) International Academy of Sciences, 2020, Volume 20, Issue 4, Pages 19–24
DOI: https://doi.org/10.47928/1726-9946-2020-20-4-19-24
(Mi aman4)
 

MATHEMATICS

Analogue of Lyapunov's inequality for the second-order ordinary differential equation with continuously distributed differentiation operator

B. I. Efendiev

Institute of Applied Mathematics and Automation, Nalchik
References:
Abstract: For an ordinary second-order differential equation with an operator of continuously distributed differentiation, an analogue of the Lyapunov inequality of the Dirichlet problem is proved.
Keywords: fractional Riemann-Liouville integral, fractional Riemann-Liouville derivative, fractional Gerasimov-Caputo derivative, operator of continuously distributed differentiation, Dirichlet problem, Lyapunov inequality.
Bibliographic databases:
Document Type: Article
UDC: 517.925.4
Language: Russian
Citation: B. I. Efendiev, “Analogue of Lyapunov's inequality for the second-order ordinary differential equation with continuously distributed differentiation operator”, Reports of AIAS, 20:4 (2020), 19–24
Citation in format AMSBIB
\Bibitem{Efe20}
\by B.~I.~Efendiev
\paper Analogue of Lyapunov's inequality for the second-order ordinary differential equation with continuously distributed differentiation operator
\jour Reports of AIAS
\yr 2020
\vol 20
\issue 4
\pages 19--24
\mathnet{http://mi.mathnet.ru/aman4}
\crossref{https://doi.org/10.47928/1726-9946-2020-20-4-19-24}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=44889512&}
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