Stability for Nonlinear Neutral Integro-Differential Equations with Variable Delay
Mathematica Moravica, Tome 19 (2015) no. 2.

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In this paper we use the contraction mapping principle to obtain asymptotic stability results of a nonlinear neutral integrodifferential equation with variable delay. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some previous results due to Burton [7], Becker and Burton [6] and Jin and Luo [17]. In the end we provide an example to illustrate our claim.
Mots-clés : Fixed points, Stability, Integro-differential equation, Variable delay 
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Abdelouaheb Ardjouni; Ahcene Djoudi. Stability for Nonlinear Neutral Integro-Differential Equations with Variable Delay. Mathematica Moravica, Tome 19 (2015) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2015_19_2_a0/