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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 2, Pages 3–13 (Mi ivm6694)  
This article is cited in 13 scientific papers (total in 13 papers)

Instability of systems with linear delay reducible to singularly perturbed ones

B. G. Grebenshchikova, S. I. Novikovb

a Chair of Theoretical Mechanics, Ural State University, Ekaterinburg, Russia
b Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
Full-text PDF (240 kB) Citations (13)
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Abstract: We investigate the stability of linear systems of differential equations with linear delay in the case when one of subsystems is singular. We establish sufficient conditions for the instability of solutions to such systems. We solve the considered problem with the help of the Laplace transformation.
Keywords: instability, functional-difference equation, Laplace transformation, asymptotic representation, meromorphic vector function.
Received: 30.10.2007
Revised: 17.03.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 2, Pages 1–10
DOI: https://doi.org/10.3103/S1066369X10020015
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: B. G. Grebenshchikov, S. I. Novikov, “Instability of systems with linear delay reducible to singularly perturbed ones”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2, 3–13; Russian Math. (Iz. VUZ), 54:2 (2010), 1–10
Citation in format AMSBIB
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\paper Instability of systems with linear delay reducible to singularly perturbed ones
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 2
\pages 3--13
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
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\issue 2
\pages 1--10
\crossref{https://doi.org/10.3103/S1066369X10020015}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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