On the stability of a second order retarded differential equation

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摘要

In this paper we study a second order retarded differential equation with variable delay. Applying the fixed point theory we obtain a necessary and sufficient condition ensuring that the zero solution of the equation is asymptotically stable. Our results improve and generalize the known ones in this direction.

论文关键词:Asymptotically stable,Fixed point,Variable delay

论文评审过程:Available online 3 February 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.148