期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 55, 期 6, 页码 641-656出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2003.08.002
关键词
functional differential equations; Lyapunov functionals; uniform asymptotic stability
A system of functional differential equations with delay dz/dt=Z(t,z(t)), where z=(x, y),x epsilon R y epsilon R-m, and Z is the vector-valued functional, is considered. It is supposed that this system has a positive invariant set x=0. Definitions of its stability, asymptotic stability, and uniform asymptotic stability are given. Theorems on the uniform asymptotic stability are formulated and proved. (C) 2003 Published by Elsevier Ltd.
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