摘要
运用锥拉伸与锥压缩的Krasnoselskii不动点理论,讨论了一类离散m点边值问题.在极限lim u→0 f(u)/u,lim u→∞f(u)/u■{0,∞}的情形下,获得了其存在至少一个正解的充分性条件,推广了已有文献的一些结果.
In this paper, by using the Krasnoselskii fixed point theorem on cone expansion and compression type, some sufficient conditions under which a. class of discrete m -point boundary value problem has at least one positive solution were obtained.While limu→0u^-f（u）,u→∞^-f（u）∈{0,∞}.The results improved those in known literatures.
出处
《广西民族大学学报（自然科学版）》
CAS
2012年第2期57-60,共4页
Journal of Guangxi Minzu University ：Natural Science Edition
基金
国家自然科学基金(10771035)
关键词
边值问题
锥
不动点理论
正解
boundary value problem
cone
fixed-point theorem
positive solution
