Stability in neutral nonlinear differential equations with functional delay using Krasnoselskii-Burton's fixed-point
Abstract
In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by Burton (see <cite>b0</cite> Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equations with functional delay   x′(t)=-a(t)h(x(t-τ(t)))+c(t)x′(t-τ(t))+b(t)G(x(t),x(t-τ(t))).
The stability of the zero solution of this equations provided that h(0)=G(0,0)=0.
Published
2014-11-27
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How to Cite
Stability in neutral nonlinear differential equations with functional delay using Krasnoselskii-Burton’s fixed-point. (2014). Nonlinear Studies, 21(4). https://nonlinearstudies.com/index.php/nonlinear/article/view/974