Asymptotic behaviour of a two-dimensional differential system with nonconstant delay

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Authors	KALAS Josef
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Mathematische Nachrichten
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Delayed differential system; asymptotic behaviour; stability; boundedness of solutions
Description	The asymptotic behaviour and stability properties are studied for a real two-dimensional system with a nonconstant delay. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Stability and asymptotic properties of this equation are studied by means of a suitable Lyapunov-Krasovskii functional. The results generalize the great part of the results of J. Kalas and L. Barakova [J. Math. Anal. Appl. 269(1) (2002), 278-300] for two-dimensional systems with a constant delay.
Related projects:	Limited properties of solutions of differential equations