Stability and asymptotic behaviour of a two-dimensional differential system with delay

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Authors	KALAS Josef BARÁKOVÁ Lenka
Year of publication	2002
Type	Article in Periodical
Magazine / Source	Journal of Mathematical Analysis and Applications
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Asymptotic behaviour; stability; boundedness of solutions; two-dimensional system; method of complexification; Lyapunov-Krasovskii functional.
Description	Stability and asymptotic behaviour of a real two-dimensional system with delay are studied. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Stability and asymptotic propertis of this equation are studied by means of a suitable Lyapunov-Krasovskii functional.
Related projects:	Qualitative theory of differential equations Functional-differential equations and mathematical-statistical models