非线性四阶多点边值问题的正解  

Positive Solutions of Nonlinear Fourth-order Multipoint Boundary Value Problems

作　　者：赵冬霞[1] 张玲[1] 田淑杰[2] 

机构地区：[1]大庆师范学院 [2]东北石油大学

出　　处：《哈尔滨师范大学自然科学学报》2017年第5期9-14,共6页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省科学基金项目(QC2016001)

摘　　要：研究一类含参数的非线性四阶多点边值问题,当参数属于一定范围时,利用常数变易法求得与边值问题等价的Green函数,并对其上下界进行估计,利用锥定理,证明四阶边值问题正解的存在性.In this paper,a class of nonlinear fourth-order multi-point boundary value problem is studied. When the parameters belong to a certain range,the Green function equivalent to the boundary value problem is obtained by using the constant method,and the upper and lower bounds are estimated. The existence of positive solutions for the fourth-order boundary value problem are proved by Cone theorem.

关 键 词：四阶边值问题 常数变易法 锥 正解 

分 类 号：O177.91[理学—数学]