Publication details
Stability and asymptotic behaviour of a two-dimensional differential system with delay
| Authors | |
|---|---|
| Year of publication | 2002 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| 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. |
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