带参数的三阶三点边值问题正解的存在性  

Existence of positive solutions for third-order three-point boundary value problems with parameter

作　　者：何希萍[1] 刘捷[2] 

机构地区：[1]甘肃广播电视大学教学指导中心,甘肃兰州730030 [2]兰州理工大学应用数学系,甘肃兰州730050

出　　处：《兰州理工大学学报》2011年第3期150-154,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10801065);甘肃省自然科学基金(0803RJZA096)

摘　　要：运用不动点指数理论研究一类带参数的三阶非线性常微分方程组三点边值问题,建立该问题正解的存在性、多重性以及不存在准则.By using fixed point index theory,three-point boundary value problems were studied in connection with a class of nonlinear third-order ordinary differential equations with parameters.The existence,multiplicity,and nonexistence criteria of the positive solutions for above-mentioned equations were set up.

关 键 词：三阶三点边值问题 正解 存在性 锥 不动点指数 

分 类 号：O175.14[理学—数学]