一类四阶两点边值问题解的上下解方法  

The Method of Lower and Upper Solutions for A Kind of Fourth-order Two-point Boundary Value Problems

作　　者：杜睿娟 Du Ruijuan(School of Cyber Security,Gansu Political Science and Law Institute,Lanzhou 730070,China)

机构地区：[1]甘肃政法学院网络空间安全学院

出　　处：《宁夏大学学报（自然科学版）》2019年第4期303-305,309,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：甘肃省自然科学基金资助项目(17JR5RA091);甘肃政法学院科研基金重点资助项目(2017XZDLW06)

摘　　要：运用Schauder不动点定理和上下解方法,讨论四阶两点边值问题{u″″(t)+f(t,u′(t),u″(t))=0,t∈[0,1],r 1u(0)-r 2u′(0)=r 3u(1)+r 4u′(1)=u″(0)=0解的存在性,其中r 1,r 2,r 3,r 4≥0,f:[0,1]×R^2→R为连续函数.By using Schauder fixed-point theorem and the method of lower and upper solutions,the fourth-order two-point boundary value boundary is considered{u″″(t)+f(t,u′(t),u″(t))=0,t∈[0,1],r 1u(0)-r 2u′(0)=r 3u(1)+r 4u′(1)=u″(0)=0 where r 1,r 2,r 3,r 4≥0,f:[0,1]×R^2→R is continuous.

关 键 词：算子方程 上下解方法 不动点 

分 类 号：O175.8[理学—数学]