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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 12, Pages 11–18 (Mi ivm8850)  

This article is cited in 7 scientific papers (total in 7 papers)

Boundedness and stability criteria for linear ordinary differential equations of the second order

G. A. Grigoryan

Institute of Mathematics of NAS of Armenia, 24/5 Marshal Bagramyan str., Erevan, 0019 Republic of Armeniya
Full-text PDF (177 kB) Citations (7)
References:
Abstract: We establish some correlations for solutions of ordinary differential equations and the imaginary part of the complex solution of the corresponding Riccati equation. On the basis of these correlations and the I. M. Sobol' theorem we prove some new stability and boundedness criteria for linear equations of the second order.
Keywords: complex solution of Riccati equation, I.M. Sobol' theorem, boundedness, Lyapunov stability, asymptotic stability.
Received: 30.07.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 12, Pages 8–15
DOI: https://doi.org/10.3103/S1066369X13120025
Bibliographic databases:
Document Type: Article
UDC: 517.923
Language: Russian
Citation: G. A. Grigoryan, “Boundedness and stability criteria for linear ordinary differential equations of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 12, 11–18; Russian Math. (Iz. VUZ), 57:12 (2013), 8–15
Citation in format AMSBIB
\Bibitem{Gri13}
\by G.~A.~Grigoryan
\paper Boundedness and stability criteria for linear ordinary differential equations of the second order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 12
\pages 11--18
\mathnet{http://mi.mathnet.ru/ivm8850}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 12
\pages 8--15
\crossref{https://doi.org/10.3103/S1066369X13120025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84890491463}
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  • This publication is cited in the following 7 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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    Abstract page:466
    Full-text PDF :138
    References:63
    First page:12
     
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