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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1288–1301 (Mi smj1039)  
This article is cited in 2 scientific papers (total in 2 papers)

A branching method for studying stability of a solution to a delay differential equation

Yu. F. Dolgiia, S. N. Nidchenkob

a Ural State University
b Ural State Law Academy
Full-text PDF (247 kB) Citations (2)
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Abstract: We study stability of antisymmetric periodic solutions to delay differential equations. We introduce a one-parameter family of periodic solutions to a special system of ordinary differential equations with a variable period. Conditions for stability of an antisymmetric periodic solution to a delay differential equation are stated in terms of this period function.
Keywords: delay differential equation, periodic solution, stability.
Received: 25.06.2003
Revised: 28.04.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 6, Pages 1039–1049
DOI: https://doi.org/10.1007/s11202-005-0098-7
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: Yu. F. Dolgii, S. N. Nidchenko, “A branching method for studying stability of a solution to a delay differential equation”, Sibirsk. Mat. Zh., 46:6 (2005), 1288–1301; Siberian Math. J., 46:6 (2005), 1039–1049
Citation in format AMSBIB
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\paper A branching method for studying stability of a solution to a delay differential equation
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\issue 6
\pages 1288--1301
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\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 6
\pages 1039--1049
\crossref{https://doi.org/10.1007/s11202-005-0098-7}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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