%0 Journal Article
%T Stability for Functional Differential Equations with Delay in Banach Spaces
%A Anna Kisiolek
%A Ireneusz Kubiaczyk
%A Aneta Sikorska-Nowak
%J Advances in Pure Mathematics
%P 337-346
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.94016
%X 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</span><span times=\"\" new=\"\" roman\",\"serif\";\"=\"\" style=\"font-size: 10pt;\"><span style=\"font-family:Verdana;font-size:12px;\">&nbsp;</span></span><span style=\"font-family:Verdana;\">[1]</span><span style=\"font-size:10pt;font-family:&quot;\"></span><span times=\"\" new=\"\" roman\",\"serif\";\"=\"\" style=\"font-size: 10pt;\"></span><span style=\"font-family:Verdana;\">, Becker and Burton</span><span minion=\"\" pro=\"\" capt\",\"serif\";\"=\"\" style=\"font-size: 10pt;\"><span style=\"font-family:Verdana;font-size:12px;\">&nbsp;</span><span style=\"color:red;\"></span></span><span style=\"font-family:Verdana;\">[2]</span><span style=\"font-size:10pt;font-family:&quot;color:red;\"></span><span minion=\"\" pro=\"\" capt\",\"serif\";color:red;\"=\"\" style=\"font-size: 10pt;\"></span><span style=\"font-family:Verdana;\">, Ardjouni and Djoudi </span><span style=\"font-family:Verdana;\">[3]</span><span style=\"font-size:10pt;font-family:&quot;color:red;\"></span><span minion=\"\" pro=\"\" capt\",\"serif\";color:red;\"=\"\" style=\"font-size: 10pt;\"></span><span style=\"font-family:Verdana;\">, and Jin and Luo</span><span minion=\"\" pro=\"\" capt\",\"serif\";\"=\"\" style=\"font-size: 10pt;\"><span style=\"font-family:Verdana;font-size:12px;\">&nbsp;</span><span style=\"color:red;\"></span></span><span style=\"font-family:Verdana;\">[4]</span><span style=\"font-size:10pt;font-family:&quot;color:red;\"></span><span minion=\"\" pro=\"\" capt\",\"serif\";color:red;\"=\"\" style=\"font-size: 10pt;\"></span><span style=\"font-family:Verdana;\">.
%K Fixed Point
%K Differential Equations
%K Banach Space
%K Stability
%K Measure of Noncompactness
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=92092