本文研究具有Hille—Yosida算子的非线性随机脉冲泛函微分包含的可控性.假设多值非线性和脉冲函数满足由非紧性测度表示的正则性条件,利用非紧性测度理论和多值凝聚不动点定理,得到这类微分包含的可控性的充分条件.
In this paper,the controllability of nonlinear stochastic impulsive functional differential inclusions with Hille-Yosida operators is investigated. Assuming that the multivalued nonlinearity and impulsive function satisfy the regularity conditions expressed in terms of the measures of non- compactness,the sufficient conditions for the controllability of these inclusions are obtained by using the theory of the measure of noncompactness and the fixed-point theorem of condensing multivalued map.