摘要
通过利用单调迭代技巧,上下解方法及最大值原理讨论了一类2n阶奇异边值问题,得到了C(2n-1)[0,1]正解存在的充分必要条件及C(2n-2)[0,1]正解存在的充分条件.
A necessary and sufficient condition for the existence of C^（2n-1）[0,1] positive solutions to the singular boundary has been obtained by using the monotone iterative techniques. By constructing lower and upper solutions and with the maximal theorem, a sufficient condition for the existence of C^（2n-2）[0,1] positive solutions is also given.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2007年第2期7-12,共6页
Journal of Qufu Normal University(Natural Science)
基金
Research supported by the National Natural Science Foundation of China(10471075)
the Natural Science Foundation of Shandong Province(Y2006A04)
the Doctoral Program Foundation of Education Ministry of China(20050446001).
关键词
正解
高阶微分方程
上下解
最大值原理
positive solutions
higher order differential equation
upper and lower solution
maximum principle
