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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 69–80 (Mi timm900)  
This article is cited in 7 scientific papers (total in 7 papers)

Some properties of solutions of second-order linear ordinary differential equations

G. A. Grigoryan

Institute of Mathematics, National Academy of Sciences of Armenia
Full-text PDF (194 kB) Citations (7)
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Abstract: The Riccati equation method is used to obtain lower and upper estimates for the distance between two consecutive zeros of a solution and the derivative of the solution to a second-order linear ordinary differential equation in terms of its coefficients. Oscillation conditions and a stability condition are proved, and a theorem on the asymptotic behavior of zeros of solutions to a second-order linear equation and on the asymptotic behavior of one of the solutions to this equation is established.
Keywords: Riccati equation, estimation of the distance between two consecutive zeroes, oscillation, nonoscillation, oscillation on a finite interval, asymptotic behavior, stability.
Received: 12.04.2012
Bibliographic databases:
Document Type: Article
UDC: 517.923
Language: Russian
Citation: G. A. Grigoryan, “Some properties of solutions of second-order linear ordinary differential equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 69–80
Citation in format AMSBIB
\Bibitem{Gri13}
\by G.~A.~Grigoryan
\paper Some properties of solutions of second-order linear ordinary differential equations
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 69--80
\mathnet{http://mi.mathnet.ru/timm900}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408362}
\elib{https://elibrary.ru/item.asp?id=18839266}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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