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

被引：2
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
收藏
页码：149 / 167
页数：19
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