Asymptotic Behaviour of Solutions of Real Two-dimensional Differential System with Nonconstant Delay
نویسندگان
چکیده
In this article, stability and asymptotic properties of solutions of a real two-dimensional system x′(t) = A(t)x(t)+B(t)x(τ(t))+h(t, x(t), x(τ(t))) are studied, where A, B are matrix functions, h is a vector function and τ(t) ≤ t is a nonconstant delay which is absolutely continuous and satisfies lim t→∞ τ(t) = ∞. Generalization of results on stability of a two-dimensional differential system with one constant delay is obtained using the methods of complexification and Lyapunov-Krasovskii functional and some new corollaries and examples are presented.
منابع مشابه
Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case
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