Asymptotic behaviour of a two-dimensional differential system with nonconstant delay
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Mathematische Nachrichten |
| MU Faculty or unit | |
| 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. |
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