A STUDY OF THE STABILITY IN NEUTRAL NONLINEAR DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DELAY VIA FIXED POINTS

Facta Universitatis. Series Mathematics and Informatics

Mouataz Billah Mesmouli¹ 

[1] University of Annaba

关键词: Fixed point;    stability;    nonlinear neutral equation;    large contraction mapping;    integral equation.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by Burton (see b0 Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equations with functional delayx′(t)=-a(t)h(x(t-τ(t)))+c(t)x′(t-τ(t))+G(t,x(t),x(t-τ(t))).The stability of the zero solution of this eqution provided that h(0)=G(t,0,0)=0. The Caratheodory condition is used for the function G.

【 授权许可】

Unknown