一阶脉冲微分方程非齐次无穷边值问题  

Non-Homogeneous Infinite Boundary Value Problems for First Order Impulsive Differential Equations

作　　者：石漂漂[1] 

机构地区：[1]晋中学院数学学院,山西晋中030600

出　　处：《中北大学学报（自然科学版）》2010年第3期210-215,共6页Journal of North University of China(Natural Science Edition)

摘　　要：考虑B anach空间中具有无穷个脉冲点的一阶脉冲微分方程非齐次边值问题解的存在性,通过建立比较定理,利用上下解方法和单调迭代技术,得到了边值问题最大最小解存在的充分条件.The research is focused on the existence of solutions of non-homogeneous boundary value problems for first-order impulsive differential equations with an infinite number of impulsive moments in Banach space.By establishing a comparison theorem and using the lower-upper solution method and the monotone iterative technique,the sufficient conditions for the existence of maximal solution and minimal solution of the boundary value problems are obtained.

关 键 词：脉冲微分方程 非齐次边值问题 上下解 锥 

分 类 号：O175[理学—数学]