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-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-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.
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.
出处
《应用数学》
CSCD
北大核心
2007年第2期239-242,共4页
Mathematica Applicata
关键词
初值问题
脉冲积分-微分方程
序BANACH空间
最大解
最小解
Initial value problem
Impulsive integro-differential equation
Ordered Banach space
Maximal solution
Minimal solution
