Stability for Functional Differential Equations with Delay in Banach Spaces  

作　　者：Anna Kisiolek Ireneusz Kubiaczyk Aneta Sikorska-Nowak 

机构地区：[1]The Great Poland University of Social and Economics in Sroda Wlkp, Sroda Wlkp, Poland [2]Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland

出　　处：《Advances in Pure Mathematics》2019年第4期337-346,共10页理论数学进展（英文）

摘　　要：In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solutions of nonlinear differential equation with variable delay. Results presented in this paper extend some previous results due to Burton?[1], Becker and Burton?[2], Ardjouni and Djoudi [3], and Jin and Luo?[4].In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solutions of nonlinear differential equation with variable delay. Results presented in this paper extend some previous results due to Burton?[1], Becker and Burton?[2], Ardjouni and Djoudi [3], and Jin and Luo?[4].

关 键 词：Fixed Point DIFFERENTIAL EQUATIONS BANACH Space STABILITY MEASURE of Noncompactness 

分 类 号：O1[理学—数学]