On the qualitative behaviors of stochastic delay integro-differential equations of second order

被引：1

作者：

Mahmoud, Ayman M. ^{[1
]}

Tunc, Cemil ^{[2
]}

机构：

[1] New Valley Univ, Fac Sci, Dept Math, El Kharga 72511, Egypt

[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2024年 / 2024卷 / 01期

关键词：

Stability; Continuity; Boundedness; Stochastic delay; Integro-differential equation; Lyapunov functional; ASYMPTOTIC STABILITY; BOUNDEDNESS; EXISTENCE;

D O I：

10.1186/s13660-024-03085-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE).To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.

引用

页数：14

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