文章基本信息

标题：Weighted exponential stability for generalized delay functional differential equations with bounded delays
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作者：Snezhana Hristova ; Valentina Proytcheva
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：185
DOI：10.1186/1687-1847-2014-185
语种：English
出版社：Hindawi Publishing Corporation
摘要：In the paper functional differential equations with several bounded delays are considered. The delays are presented in the form of delay operators and they generalize many well-known types of delay differential equations in the literature, such as differential equations with constant delays, with variable delays, with distributed delays, differential equations with maxima, etc. A special type of stability, known as ψ-exponential stability, is studied and several sufficient conditions are obtained. The used function ψ plays the role of a weight in the norm and, additionally, it gives the rate of increase of the solutions which are not exponentially stable in the regular sense. The modified Razumikhin method as well as comparison results have been applied. Several examples illustrate the results obtained. MSC:34K20.
关键词：exponential stability with weight ; Lyapunov function ; delay ; differential equations