在可分Banach空间考虑了一类带模糊脉冲特征和周期边值条件的二阶半线性模糊微分包含问题(FIP). 利用算子的一致收敛余弦族理论, 堆积定理及多值映射的不动点定理, 获得了问题(FIP)的模糊解的一些存在性结果.

A second-order semilinear fuzzy differential inclusion (FIP) with fuzzy impulse characteristics and periodic boundary conditions is considered in separable Banach spaces. Some existence results for fuzzy solution of problem (FIP) are established by using the theory of uniformly convergence cosine families of operators, the stacking theorem and the fixed point theorem for multivalued maps.