一类具有非瞬时脉冲发展方程适度解的存在性

Existence of mild solutions for a class of equations with non-instantaneous impulse

在Banach空间中探讨一类具有非瞬时脉冲的一阶积-微分方程适度解的存在性.在预解算子非紧的条件下,利用算子半群理论、非紧性测度理论和Darbo不动点定理,得到该类方程适度解的存在性结论.

In this paper, the existence of mild solutions for a class of first-order integro-differential equations with non-instantaneous impulses in Banach spaces is studied. By using the operator semigroup theory, noncompact measure theory and Darbo’s fixed point theorem, the existence of mild solution is obtained under the condition that the presolution operator is not compact.