学术
摘 要:
利用单调迭代技术，本文首先讨论了Banach空间一阶脉冲积分一微分方程初值问题最大解与最小解的存在性．在此基础上，讨论了右端项中带有一阶导数的二阶脉冲积分一微分方程初值问题最大解与最小解的存在性．最后的例子说明对导数的限制条件是可验证的．[著者文摘]
文章出处:
《应用数学》-2007年20卷2期 -239-242页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）02-0239-04
The Iterative Solutions of Impulsive Integro-differential Equations in Banach Spaces
WANG Xin- feng （Basic Course Department of Beijing Union University, Beijing 100101,China）
Abstract:
By using the monotone iterative technique, the existence of maximal and minimal solutions of initial value problems for one-order impulsive integro-differential equations in Banach spaces is firstly investigated in this paper,and based on the results,the existence of maximal and minimal solutions of initial value problems for two-order impulsive integro-differential equations with a derivative in Banach spaces is discussed. The instance implied that the conditions depending on derivative is feasible.[著者文摘]
Key words:
Initial value problem; Impulsive integro-differential equation; Ordered Banach space;Maximal solution ;Minimal solution
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