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Stability for Functional Differential Equations with Delay in Banach Spaces
The Great Poland University of Social and Economics in Sroda Wlkp, Sroda Wlkp, Poland
The Great Poland University of Social and Economics in Sroda Wlkp, Sroda Wlkp, Poland
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland
- 1 The Great Poland University of Social and Economics in Sroda Wlkp, Sroda Wlkp, Poland
- 2 The Great Poland University of Social and Economics in Sroda Wlkp, Sroda Wlkp, Poland
- 3 Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland
Advances in Pure Mathematics·Volume 09 (2019)·Pages 337–346·Published 11 April 2019·DOI10.4236/apm.2019.94016
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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] .
KeywordsFixed PointDifferential EquationsBanach SpaceStabilityMeasure of Noncompactness
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