一阶脉冲方程的初值问题

An Initial-value Problem for First-order Impulsive Equations

利用混合单调迭代工具讨论了一阶脉冲方程初值问题最大最小拟解的存在性,并证明了必存在单调迭代序列{un(t)},{vn(t)},分别在J′上一致收敛于u*(t)和v*(t)。所得结果推广了目前一阶脉冲方程初值问题的相关结论。

By means of mixed monotone iterative technique, the paper investigated the existing results for pseudo -maximal and minimal solutions of a initial value problem for first - order impulsive equations and proved that it must have monotone iteration sequences,which converged uniformly to u ＊ （t） and v ＊ （t） in J, respectively. The results extend the corresponding results of an initial value problem for first - order impulsive equations.