摘要
考虑一类带有参数的非线性三阶三点边值问题.通过定义指标i0和i∞,从而根据它们的不同取值,对于参数适当的变化范围,建立该边值问题正解的存在性以及不存在性准则.所用的工具为不动点指数理论.
A class of nonlinear three-order three-point boundary value problems with parameters was considereal. By defining indices io and i∞ and assigning values to them, some criteria for determination of existence and non-existence of positive solutions to this boundary value problem were established for an appropriate range of parameters. The main tool used was the theory of the fixed-point index.
出处
《兰州理工大学学报》
CAS
北大核心
2009年第2期142-145,共4页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(10801068)
关键词
三阶三点边值问题
正解
存在性
不存在性
不动点指数
three-order three-point boundary value problem
positive solution
existence
non-existence
fixed-point index
