Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Levy noise

被引：2

作者：

Mbaye, Mamadou Moustapha ^{[1
]}

Manou-Abi, Solym Mawaki ^{[2
,3
]}

机构：

[1] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math, BP 5005, Dakar, Senegal

[2] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, UM CNRS 5149, Montpellier, France

[3] CUFR Mayotte, Dept Sci & Technol, 3 Route Natl, F-97660 Dembeni, France

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 03期

关键词：

Almost automorphic solution; Stochastic processes; Stochastic evolution equations; Levy noise; ALMOST-PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s41478-023-00556-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a class of stochastic integro-differential equations driven by Levy noise. Under some appropriate assumptions, we establish the existence of a square-mean almost automorphic solution in distribution. Particularly, based on Schauder's fixed point theorem, the existence of square-mean almost automorphic mild solution in distribution is obtained by using the condition which is weaker than Lipschitz conditions. We provide an example to illustrate ours results.

引用

页码：2139 / 2162

页数：24

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