摘要
对Banach空间X中的脉中微分方程无穷边值问题引入了L(t)-拟上下解的概念,在适当的条件下,通过构造L(t)-拟上下解的单调迭代过程,获得了其最小、最大L(t)-拟解对的存在性以及在最小、最大L(t)-拟解对之间解的存在性.
The concepts of L（t）-quasi-upper and lower solutions are introduced for the infinite boundary value problem of the impulsive differential equations in Banach space X. Under some suitable conditions, by using the monotone iteration sequence with L （t）-quasi-upper and lower solutions, the existence of the minimal and maximal L（t）-quasi-solutions of the porblem and the solution for the problem between them is proved.
出处
《宁夏大学学报（自然科学版）》
CAS
2012年第2期135-139,143,共6页
Journal of Ningxia University(Natural Science Edition)
基金
甘肃省教育厅科研资助项目(0712B-02)
关键词
正规锥
脉冲微分方程
L(t)-拟上下解对
无穷边值问题
单调迭代技巧
normal cone
impulsive differential equation
L （t）-quasi-upper and lower solutions
infiniteboundary value problem~ monotone iterative technique
