Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay.

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Authors

REBENDA Josef

Year of publication 2009
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Web Archivum Mathematicum
Field General mathematics
Keywords MSC: 34K25 34K20 34K12; stability; asymptotic behaviour; differential system; nonconstant delay; Lyapunov method
Description 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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