Stability by Krasnoselskii Fixed Point Theorem for Neutral Nonlinear Differential Equations with Variable Delays Abdelouaheb Ardjouni and Ahcene Djoudi
نویسندگان
چکیده
We use Krasnoselskii’s fixed point theorem to obtain boundedness and stability results about the zero solution of a neutral nonlinear differential equation with variable delays. A stability theorem with a necessary and sufficient condition is given. The results obtained here extend and improve the works of C. H. Jin and J. W. Luo [12] and also those of [5, 9, 15]. In the end we provide an example to illustrate our claim. 2010 Mathematics Subject Classification: 34K20, 34K30, 34K40. Keys words and phrases: Fixed points, Stability, Nonlinear neutral differential equation, Integral equation, Variable delays.
منابع مشابه
Fixed Points and Stability in Neutral Nonlinear Differential Equations with Variable Delays
Abstract. By means of Krasnoselskii’s fixed point theorem we obtain boundedness and stability results of a neutral nonlinear differential equation with variable delays. A stability theorem with a necessary and sufficient condition is given. The results obtained here extend and improve the work of C.H. Jin and J.W. Luo [Nonlinear Anal. 68 (2008), 3307–3315], and also those of T.A. Burton [Fixed ...
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