n阶m点边值问题的三个正解  

Three positive solutions of nth-order m-point boundary value problems

作　　者：焦新军 杨赟瑞 赵包 JIAO Xin-jun;YANG Yun-rui;ZHAO Bao(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2020年第3期25-30,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11761046)。

摘　　要：利用Leggett-Williams不动点定理建立了n阶m点边值问题三个正解的存在性,推广了低阶多点边值问题正解以及多个正解的存在性结论.The existence of three positive solutions for an n th-order m-point boundary value problem is established by using Leggett-Williams fixed point theorem,which generalizes some results of positive and multiple positive solutions to the lower order boundary value problems with multipoint.

关 键 词：LEGGETT-WILLIAMS不动点定理 正解 n阶m点边值问题 全连续算子 

分 类 号：O175.8[理学—数学]