%0 Journal Article
%T Stability for linear neutral integro-differential equations with variable delays
%A Abdelouaheb Ardjouni
%A Ahcene Djoudi
%A Imene Soualhia
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this article we study a linear neutral integro-differential equation with variable delays and give suitable conditions to obtain asymptotic stability of the zero solution, by means of fixed point technique. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes previous results due to Burton [5], Becker and Burton [4] and Jin and Luo [5]. We provide an example that illustrates our results.
%K Fixed point
%K stability
%K integro-differential equation
%K variable delay
%U http://ejde.math.txstate.edu/Volumes/2012/172/abstr.html