具有脉冲条件混合型一阶脉冲积分微分方程解的存在性  

Existence of First Order Impulsive Integro-Differential Equations of Mixed Type with Impulsive Integral Condition

作　　者：何小燕[1] 

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010070

出　　处：《现代计算机》2013年第21期21-23,共3页Modern Computer

摘　　要：在现实世界里脉冲现象是普遍存在的,例如最优控制、化学技术、医疗等方面都会有脉冲现象。事实上,有脉冲的变化过程意味着在某一时刻的状态将发生急速的变化,脉冲微分方程是一种来描述有脉冲影响的系统的数学方法。运用上,下解法和单调迭代技术论证具有脉冲条件混合型一阶脉冲积分微分方程解的存在性。Impulsive phenomenon exists extensively in real world, such as in optimal control, chemical technology, medicine, etc. In fact, evolution processes with impulses means that their states may rapid change at certain moments. Impulsive differential equation is an appropriate mathematical model to describe the system with impulsive integro-differential equation. By the method of up- per and lower solutions coupled with the monotone iterative technique,obtains the existence of extreme solutions for the impulsive integro-differential equation of mixed type with impulsive integral conditions.

关 键 词：脉冲积分微分方程 脉冲积分条件 上下解 单调迭代技术 

分 类 号：O175.6[理学—数学]