一类非线性三阶三点边值问题的正解  

Positive solutions of a class of nonlinear third-order threepoint boundary value problems

作　　者：孙建平[1] 彭俊国[1] 郭丽君[1] 赵亚红[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》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)

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.

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 

分 类 号：O175[理学—数学]