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.
Related projects:	Oscillatory and asymptotic properties of solutions of differential equations