讨论了Banach空间中积分微分方程适度解的存在性,利用算子变换技巧,结合Hausdorff非紧测度及不动点定理,给出相关半群在等度连续条件下方程适度解的存在性,改进和推广了已有的一些结果.
The paper is concerned with the existence of mild solutions of integro-differential equations with nonlocal conditions in Banach spaces.By using the technique of operator transformation combined with fixed point theorem and Hausdorff measure of noncompactness,we obtained the mild solutions of the above equations under the condition that Co-semigroup is equicontinuous.It improves and generalizes some previous results.