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Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay.
Autoři | |
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Rok publikování | 2009 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Archivum Mathematicum |
Fakulta / Pracoviště MU | |
Citace | |
www | Archivum Mathematicum |
Obor | Obecná matematika |
Klíčová slova | MSC: 34K25 34K20 34K12; stability; asymptotic behaviour; differential system; nonconstant delay; Lyapunov method |
Popis | This article deals with stability and asymptotic properties of solutions of a real two-dimensional system with a nonconstant delay. Generalization of results on stability of a two-dimensional differential system with one constant delay is obtained using the methods of complexification and Lyapunov-Krasovskii functional. New corollaries and an example are presented. |
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