Author(s)

Anna Kisiolek¹, Ireneusz Kubiaczyk¹, Aneta Sikorska-Nowak²

¹The Great Poland University of Social and Economics in Sroda Wlkp, Sroda Wlkp, Poland.
²Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland.

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].

Fixed Point, Differential Equations, Banach Space, Stability, Measure of Noncompactness

Kisiolek, A. , Kubiaczyk, I. and Sikorska-Nowak, A. (2019) Stability for Functional Differential Equations with Delay in Banach Spaces. Advances in Pure Mathematics, 9, 337-346. doi: 10.4236/apm.2019.94016.