摘要
将上下解方法与单调迭代技巧应用于研究一类时滞微分方程,在正向及反向上下解两种情形下分别讨论了该类方程周期边值问题最大最小解的存在性.
The existence of maximal and minimal solutions for periodic boundary value problems involving nonlinear differential equations with arguments is studied by establishing the new comparison inequalities with lower and upper solutions in both formal and reverse order.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2007年第7期66-71,共6页
Journal of Shandong University(Natural Science)
关键词
上
下解
比较定理
周期边值问题
最大
最小解
upper and lower solution
comparison inequality
periodic boundary value problem
maximal and minimal solutions