Existence and stability of square-mean almost automorphic solution for neutral stochastic evolution equations with Stepanov-like terms on time scales

被引：15

作者：

Dhama, Soniya ^{[1
]}

Abbas, Syed ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi, Himachal Prades, India

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 02期

关键词：

Almost automorphy; Stochastic process; Stepanov-like almost automorphy; Evolution system; Time scales;

D O I：

10.1007/s13398-018-0547-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to study the existence, uniqueness and stability of the square-mean almost automorphic solution for neutral stochastic evolution equation with Stepanov-like terms on time scales. We introduce time scale version of the Stepanov like square mean almost automorphic functions. At the end, an example is given to illustrate the effectiveness of the analytic results.

引用

页码：1231 / 1250

页数：20

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