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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 3, Pages 35–48 (Mi ivm8981)  
This article is cited in 5 scientific papers (total in 5 papers)

Criteria of global solvability for Riccati scalar equations

G. A. Grigoryan

Institute of Mathematics, National Academy of Sciences, Republic of Armenia, 24/5 Marshal Bagramyan Ave., Erevan, 0019 Republic of Armenia
Full-text PDF (246 kB) Citations (5)
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Abstract: Based on two comparison theorems we prove certain coefficient criteria of global solvability for Riccati scalar equations. The result is applied to a system of two linear first-order differential equations.
Keywords: Riccati equation, regular (global) solutions, normal and limit solutions, oscillation, non-oscillation, system of two linear differential first-order equations.
Received: 30.08.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 3, Pages 31–42
DOI: https://doi.org/10.3103/S1066369X15030044
Bibliographic databases:
Document Type: Article
UDC: 517.923
Language: Russian
Citation: G. A. Grigoryan, “Criteria of global solvability for Riccati scalar equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 35–48; Russian Math. (Iz. VUZ), 59:3 (2015), 31–42
Citation in format AMSBIB
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\by G.~A.~Grigoryan
\paper Criteria of global solvability for Riccati scalar equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 3
\pages 35--48
\mathnet{http://mi.mathnet.ru/ivm8981}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 3
\pages 31--42
\crossref{https://doi.org/10.3103/S1066369X15030044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928879473}
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    • This publication is cited in the following 5 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 :127
    References:68
    First page:17
     
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