Banach空间中非线性脉冲微分-积分方程的极值解

Extremal Solutions of Nonlinear Impulsive Integrodifferential Equation in Banach Space

该文用单调迭代法结合一些新的技巧，研究了Banach空间中一阶非线性脉冲微分-积分方程初值问题极值解，在较宽松的条件下，建立了新的存在性定理，对文[3]在L3＝0的结果作了本质性的改进和推广．

In this paper, the author combine the monotone iterative method with some new technique to investigate the extremal solutions of first order initial value problem of nonlinear impulsive integrodifferential equations in Banach space, under simp1er and weaker conditions, establish the new existence theorem, essentially improve and generalize the corresponding results in [3]when L3=0.