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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 17–27 (Mi ivm8098)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of a periodic boundary value problem for systems of functional differential equations with cyclic matrices

E. I. Bravyi

Chair of Higher Mathematics, Perm State Technical University, Perm, Russia
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Abstract: We consider first-order systems of linear functional differential equations with regular operators. For collections of systems of two equations we obtain the general necessary and sufficient conditions for the unique solvability of a periodic boundary value problem. For collections of systems of $n$ equations with cyclic matrices we obtain effective necessary and sufficient conditions for the unique solvability of a periodic boundary value problem.
Keywords: periodic boundary value problem, linear functional differential equations, systems of functional differential equations, unique solvability, cyclic matrices.
Received: 17.08.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 13–22
DOI: https://doi.org/10.3103/S1066369X11100033
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: E. I. Bravyi, “Solvability of a periodic boundary value problem for systems of functional differential equations with cyclic matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 17–27; Russian Math. (Iz. VUZ), 55:10 (2011), 13–22
Citation in format AMSBIB
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\by E.~I.~Bravyi
\paper Solvability of a~periodic boundary value problem for systems of functional differential equations with cyclic matrices
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 17--27
\mathnet{http://mi.mathnet.ru/ivm8098}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918333}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 13--22
\crossref{https://doi.org/10.3103/S1066369X11100033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856282511}
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    • This publication is cited in the following 1 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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