@Article{Ardjouni2012,
author = "Ardjouni, Abdelouaheb and Djoudi, Ahcene",
title = "Fixed points and stability in neutral nonlinear differential equations with variable delays",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "1",
pages = "5--19",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.1.5",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.1.5",
abstract = "By means of Krasnoselskii's fixed point theorem we obtain boundedness and stability results of a neutral nonlinear differential equation with variable delays. A stability theorem with a necessary and sufficient condition is given. The results obtained here extend and improve the work of C. H. Jin and J. W. Luo [Nonlinear Anal. 68 (2008), 3307-3315], and also those of T. A. Burton [Fixed Point Theory 4 (2003), 15-32; Dynam. Systems Appl. 11 (2002), 499-519] and B. Zhang [Nonlinear Anal. 63 (2005), e233-e242]. In the end we provide an example to illustrate our claim.",
keywords = "fixed points, stability, nonlinear neutral differential equation, integral equation, variable delays",
issn = "1232-9274"
}