本文在更广泛的情况下,利用Sadovskii不动点定理研究了Banach空间中半直线上一类非线性奇异脉冲积分-微分方程初值问题解的存在性和唯一性,推广并改进了已有文献中的相关结果。
By using the Sadovskii fixed point theorem, the existence and uniqueness of solutions for the initial value problem of a class of nonlinear singular impulsive integro-differential equations on half-line in Banach spaces is investigated under more extensive conditions, and the known results in the literatue are extended and improved.