STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

被引：1

作者：

Diop, Mamadou Abdoul ^{[1
,2
]}

Ezzinbi, Khalil ^{[3
]}

Lo, Modou ^{[1
]}

机构：

[1] Univ Gaston Berger St Louis, UFR SAT, Dept Math, BP 234, St Louis, Senegal

[2] UPMC, UMMISCO UMI209 IRD, Bondy, France

[3] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, BP 2390, Marrakech, Morocco

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 01期

关键词：

analytic resolvent operators; fractional power; stochastic partial functional integrodifferential equations; Wiener process; Picard iteration; mild solution; exponential stability; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; EXISTENCE;

D O I：

10.4134/JKMS.j180116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the existence, uniqueness and stability in the alpha-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a Holder type condition with respect to the alpha-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

引用

页码：149 / 167

页数：19

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