Asymptotic properties of a two-dimensional differential system with delay

Warning

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

KALAS Josef

Year of publication 2007
Type Article in Proceedings
Conference Proceedings of Equadif-11
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Delayed differential equations; asymptotic behaviour; stability; boundedness of solutions; two-dimensional systems; Lyapunov method; Wazewski topological principle.
Description The asymptotic nature of the solutions of a real two-dimensional system of retarded differential equations x'(t) = A(t)x(t) + B(t)x(t-r)+ h(t,x(t),x(t-r)), where r>0 is a constant delay, A, B and h being matrix functions and a vector function, respectively, is examined. The method of complexification transforms this system to one equation with complex-valued coefficients. Stability and the asymptotic properties of this equation are studied by means of a suitable Lyapunov-Krasovskii functional and by virtue of the Wazewski topological principle.
Related projects:

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