| 7 | ASYMPTOTIC STABILITY OF RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV’ DIRECT METHOD显示文摘This paper is devoted to studying the asymptotic stability of retarded nonlinear functional differential equations by the method of Lyapunov functionals. Under the as-sumption that there exists a positive definite time-invariant Lyapunov functional with negative semi-definite derivative, we focus on the extra conditions to guarantee the asymptotic stability, and present a new criterion, which is less conservative than the classical one. Finally, an example is given to illustrate the effectiveness of the result. | Lipo Mo (School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048 Key Laboratory of Math., Informatics and Behavioral Semantics, Ministry of Education, School of Math. and Systems Science, Beihang University (BUAA), Beijing 100083) | 2010 | Annals of Differential Equations2010，26，3： | 0 |
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