Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 122–126 (Mi into180)  
This article is cited in 4 scientific papers (total in 4 papers)

The Bohl–Perron theorem for hybrid linear systems with aftereffect

P. M. Simonov

Perm State National Research University
Full-text PDF (287 kB) Citations (4)
Abstract: We consider an abstract hybrid system of functional-differential equations. Both equations are functional-differential with respect to one part of variables and difference with respect to to the other part of variables. To the system of two equations with two unknowns appeared, we apply the $W$-method of N. V. Azbelev. We examine two models: a system of functional-differential equations and a system of difference equations. We study the spaces of their solutions and obtain the Bohl–Perron-type theorems on the exponential stability.
Keywords: Bohl–Perron theorem on the exponential stability, hybrid linear system of functional-differential equations, method of model equation.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 775–781
DOI: https://doi.org/10.1007/s10958-018-3788-y
Bibliographic databases:
Document Type: Article
UDC: 517.962.8
MSC: 34K20, 34K25
Language: Russian
Citation: P. M. Simonov, “The Bohl–Perron theorem for hybrid linear systems with aftereffect”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 122–126; J. Math. Sci. (N. Y.), 230:5 (2018), 775–781
Citation in format AMSBIB
\Bibitem{Sim17}
\by P.~M.~Simonov
\paper The Bohl--Perron theorem for hybrid linear systems with aftereffect
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 122--126
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into180}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801400}
\zmath{https://zbmath.org/?q=an:1393.34069}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 775--781
\crossref{https://doi.org/10.1007/s10958-018-3788-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044468009}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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