具有非紧半群的脉冲发展方程非局部问题mild解的存在性

Existence of mild solutions for nonlocal impulsive evolution equations with noncompact semigroups

研究Banach空间中一类具有非紧半群的半线性脉冲发展方程非局部问题.在较弱的非紧性测度条件下获得了其mild解的存在性,完善和推广了已有的结论.最后,给出了一个例子说明我们的抽象结果。

This paper investigated the nonlocal problem for a class of semilinearimpulsive evolution equa-tions with noncompactsemigroups in Banach space E.Under weaknoncompactness measure condition,the existence of mild solutions wasobtained,which improved and generalized the known results.At last,a con-crete example was also given to illustrate our abstract results.