Method of additional functions in stability theory for nonautonomous systems of differential equations

TitleMethod of additional functions in stability theory for nonautonomous systems of differential equations
Publication TypeJournal Article
Year of Publication2014
AuthorsKovalev, AM, Nespirnyy, VN
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.08.020
Issue8
SectionMathematics
Pagination20-27
Date Published8/2014
LanguageRussian
Abstract

The method of additional functions in stability theory is expanded to nonautonomous systems. It has became possible due to a generalization of the method of invariant relations for this class of systems. The theorem of partial asymptotic stability is proved, and the illustrative example is considered.

Keywordsadditional functions, nonautonomous systems, stability theory
References: 

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