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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 4, Pages 25–41 (Mi ivm8886)  
This article is cited in 8 scientific papers (total in 8 papers)

On stability of a differential equation with aftereffect

T. L. Sabatulina, V. V. Malygina

Chair of Computational Mathematics and Mechanics, Perm National Research Polytechnic University, 29 Komsomol'skii Ave, Perm, 614990 Russia
Full-text PDF (289 kB) Citations (8)
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Abstract: We obtain conditions of exponential and uniform stability for a solution of a linear differential equation with bounded aftereffect, in the form of domains in the parameter space. We construct examples that show exactness of boundaries of stability domains for two classes of functional differential equations, with concentrated and distributed delay. Along with classic methods of functional analysis and theory of functions we use the test-equations method.
Keywords: functional differential equation, aftereffect, stability, Cauchy function, test equation.
Received: 30.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 4, Pages 20–34
DOI: https://doi.org/10.3103/S1066369X14040045
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: T. L. Sabatulina, V. V. Malygina, “On stability of a differential equation with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 4, 25–41; Russian Math. (Iz. VUZ), 58:4 (2014), 20–34
Citation in format AMSBIB
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\by T.~L.~Sabatulina, V.~V.~Malygina
\paper On stability of a~differential equation with aftereffect
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 4
\pages 25--41
\mathnet{http://mi.mathnet.ru/ivm8886}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 4
\pages 20--34
\crossref{https://doi.org/10.3103/S1066369X14040045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899026282}
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    • This publication is cited in the following 8 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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