On the stability of a second order retarded differential equation

Dingheng Pi

Applied Mathematics and Computation, 2015, vol. 256, issue C, 324-333

Abstract: 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.

Keywords: Asymptotically stable; Fixed point; Variable delay (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:324-333

DOI: 10.1016/j.amc.2014.12.148

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