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Stability for Functional Differential Equations with Delay in Banach Spaces

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DOI: 10.4236/apm.2019.94016    103 Downloads   195 Views

ABSTRACT

In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solutions of nonlinear differential equation with variable delay. Results presented in this paper extend some previous results due to Burton [1], Becker and Burton [2], Ardjouni and Djoudi [3], and Jin and Luo [4].

Cite this paper

Kisiolek, A. , Kubiaczyk, I. and Sikorska-Nowak, A. (2019) Stability for Functional Differential Equations with Delay in Banach Spaces. Advances in Pure Mathematics, 9, 337-346. doi: 10.4236/apm.2019.94016.

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