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二阶半线性模糊脉冲微分包含的解的存在性

刘娟,肖建中,姚忠豪   

  1. 南京信息工程大学数学与统计学院, 南京 210044
  • 出版日期:2017-03-25 发布日期:2017-04-28

刘娟,肖建中,姚忠豪. 二阶半线性模糊脉冲微分包含的解的存在性[J]. 系统科学与数学, 2017, 37(3): 918-931.

LIU Juan, XIAO Jianzhong, YAO Zhonghao. Existence of Solution of Second Order Semlinear Fuzzy Impulsive Differential Inclusions[J]. Journal of Systems Science and Mathematical Sciences, 2017, 37(3): 918-931.

Existence of Solution of Second Order Semlinear Fuzzy Impulsive Differential Inclusions

LIU Juan, XIAO Jianzhong, YAO Zhonghao   

  1. School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044
  • Online:2017-03-25 Published:2017-04-28

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.

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