ASYMPTOTIC STABILITY OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS

Facta Universitatis. Series Mathematics and Informatics

Abdelouaheb Ardjouni¹ 

[1] University of Annaba

关键词: Fixed points;    Stability;    Neutral differential equations;    Variable delays;   

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 study the asymptotic stability of a generalized nonlinear neutral differential equation with variable delays by using the fixed point theory. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Burton b5, Zhang z, Dib, Maroun and Raffoul d1, and Ardjouni and Djoudi a2.1. An example is also given to illustrate our results.

【 授权许可】

Unknown