Title | Method of additional functions in stability theory for nonautonomous systems of differential equations |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Kovalev, AM, Nespirnyy, VN |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.08.020 |
Issue | 8 |
Section | Mathematics |
Pagination | 20-27 |
Date Published | 8/2014 |
Language | Russian |
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. |
Keywords | additional functions, nonautonomous systems, stability theory |
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