Banach空间中无穷区间上n阶非线性脉冲微分-积分方程初值问题的整体解

Initial Problems for nth Order Nonlinear Impulsive Integro-differential Equation on an Infinite Interval in a Banach Space

利用Banach不动点定理,通过逐步求解方法,在较宽松的条件下,给出了Banach空间中无穷区间上n阶非线性脉冲微分-积分方程初值问题的整体解的存在定理,对最近出现的结果作了重要推广,并举例说明了本文结果的应用.

By applying the Banach fixed point theorem and through solving the problem step-step, under simple conditions, the existence and uniqueness solution of initial value problems for nonlinear nth order impulsive differential-integro equations on an infinite interval in a Banach space are obtained. The recent results are improved and generalized and an example is presented to demonstrate the applications of our main result.