TITLE:
Stability for Functional Differential Equations with Delay in Banach Spaces
AUTHORS:
Anna Kisiolek, Ireneusz Kubiaczyk, Aneta Sikorska-Nowak
KEYWORDS:
Fixed Point, Differential Equations, Banach Space, Stability, Measure of Noncompactness
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.4,
April
28,
2019
ABSTRACT: 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].