三阶非线性边值问题正解的存在性  

Existence of Positive Solutions for Nonlinear Third-order Boundary Value Problem

作　　者：张丽[1] 闫善文[1] Zhang Li;Yan Shanwen(College of Science,Heilongjiang Bayi Agricultural University,Daqing163319)

机构地区：[1]黑龙江八一农垦大学理学院,大庆163319

出　　处：《黑龙江八一农垦大学学报》2022年第5期127-131,138,共6页journal of heilongjiang bayi agricultural university

摘　　要：研究了一类含参数三阶非线性微分方程边值问题,给出其正解存在的充分条件,利用锥不动点定理并结合Green函数估计,证明了该问题正解的存在性。The existence of positive solutions for the following nonlinear third-order boundary value problemu″′(t)-ρ^(2)u′(t)=f(t,u(t)),(0<t<1);u′(0)=0,u(1)=0,u″(1)=0.where ρ>0 was a parameter.By means of the fixed point theorem on cones,some existence results of positive solutions were proved.

关 键 词：三阶非线性边值问题 正解 存在性 锥不动点定理 

分 类 号：O175[理学—数学]