摘要
用上、下解方法研究了有序Ｂａｎａｃｈ 空间二阶微分方程周期边值问题解的存在性． 利用一个新建立的比较原理， 减弱了上、下解通常要求的边界条件．
The existence of solutions of periodic boundary value problems for second order differential equations in orderd Banach spaces is discussed by using the method of lower and upper solutions.The boundary conditions,which have been commonly required,of the lower and upper solutions with a new comparison lemma are weakened.The results improve and extend the relevent conclusions in early times.
出处
《西北师范大学学报（自然科学版）》
CAS
1999年第4期1-8,共8页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金
甘肃省教委科研基金
关键词
微分方程
周期边值问题
上解
下解
巴拿赫空间
second order differential equation
periodic boundary value problem
normal cone
upper solution
lower solution
