摘要
考虑了一类时滞依赖于状态的脉冲中立型随机积分微分方程的可控性,基于预解算子理论、分数阶算子理论和相空间理论,借助算子半群方法、不动点定理和随机分析技巧,在方程预解算子R(t)非紧条件下获得了上述方程可控的充分条件.
This paper is concerned with the controllability for a class of impulsive neutral stochastic integro-differential equations with state-dependent delay.Based on the resolvent operator theory,the fractional power operator theory and phase space theory,the sufficient conditions of the controllability result are obtained by means of the operator semigroup method,fixed point theorem and stochastic analysis technique,when the resolvent operator R(t)is not compact.
作者
黄浩
王良龙
HUANG Hao;WANG Liang-long(Department of Mathematics and Statistics,Hefei Normal University,Hefei 230601,China;Department of Mathematical Science,Anhui University,Hefei 230039,China)
出处
《南阳理工学院学报》
2019年第4期118-123,共6页
Journal of Nanyang Institute of Technology
基金
国家自然科学基金面上项目(11771001)
安徽省名师工作室(2016msgzs006)
关键词
可控性
随机积分微分方程
时滞依赖于状态
预解算子理论
不动点定理
controllability
stochastic integro-differential equations
resolvent operator theory
state-dependent delay
fixed point theorem
