四阶m-点边值问题的上下解方法  

The method of lower and upper solutions for the fourth-order m-point boundary value problems

作　　者：杜睿娟 刘利平 师晶晶 DU Ruijuan;LIU Liping;SHI Jingjing(School of Cyber Security,Gansu University of Political Science and Law,Lanzhou 730070,Chima)

机构地区：[1]甘肃政法大学网络空间安全学院,兰州730070

出　　处：《黑龙江大学自然科学学报》2020年第5期549-553,共5页Journal of Natural Science of Heilongjiang University

基　　金：甘肃省自然科学基金资助项目(17JR5RA091);甘肃政法大学科研资助重点项目(2017XZDLW06)。

摘　　要：运用上下解方法及Schauder不动点定理,讨论四阶m-点边值问题■解的存在性,其中常数a_i,b_i≥0,0<η_1<η_2<…<η_(m-2)<1,f:[0,1]×R^2→R为连续函数。By using the method of lower and upper solutions,Schauder fixed-point theorem,we consider the existence of solutions to the following fourth-order m-point boundary value problems■where ai,bi≥0,0<η1<η2<…<ηm-2<1,f:[0,1]×R2→R is continuous.

关 键 词：SCHAUDER不动点定理 上下解方法 M-点边值问题 存在性 

分 类 号：O175.8[理学—数学]