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

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.
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:

You are running an old browser version. We recommend updating your browser to its latest version.