Existence of solutions and stability for impulsive neutral stochastic functional differential equations

被引：6

作者：

Benhadri, Mimia ^{[1
]}

Caraballo, Tomas ^{[2
]}

Halim, Zeghdoudi ^{[3
]}

机构：

[1] Freres Mentouri Constantine Univ, Dept Math, Constantine, Algeria

[2] Univ Seville, Dept Ecuaciones Difererenciales & Anal Numer, C Tarfia S-N, E-41012 Seville, Spain

[3] Badji Mokhtar Univ, LaPS Lab, Annaba, Algeria

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2019年 / 37卷 / 05期

关键词：

Fixed points theory; asymptotic stability in mean square; neutral stochastic differential equations; variable delays; impulses; FIXED-POINTS; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; DELAY;

D O I：

10.1080/07362994.2019.1611449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some results on the existence of solutions and the mean square asymptotic stability for a class of impulsive neutral stochastic differential systems with variable delays by using a contraction mapping principle. Namely, a sufficient condition ensuring the asymptotic stability is proved. The assumptions do not impose any restrictions neither on boundedness nor on the differentiability of the delay functions. In particular, the results improve some previous ones in the literature. Finally, an example is exhibited to illustrate the effectiveness of the results.

引用

页码：777 / 798

页数：22

共 33 条

[11] Stability analysis of neutral stochastic delay differential equations by a generalisation of Banach's contraction principle [J].