Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841673 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 9 Pages |
Abstract
In this paper we consider the asymptotic stability of a generalized linear neutral differential equation with variable delays by using the fixed point theory. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Burton (2003) [3], Zhang (2005) [14], Raffoul (2004) [13], and Jin and Luo (2008) [12]. Two examples are also given to illustrate our results.
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Authors
Abdelouaheb Ardjouni, Ahcene Djoudi,