一类四阶四点边值问题的三个正解  

Three Positive Solutions of a Class of Fourth-order Four-point Boundary Value Problems

作　　者：刘克盼 杨赟瑞 周永辉 LIU Ke-pan;YANG Yun-rui;ZHOU Yong-hui(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州交通大学学报》2018年第1期107-112,共6页Journal of Lanzhou Jiaotong University

基　　金：国家自然科学基金(11301241;11761046);兰州交通大学青年科学基金(2011029)

摘　　要：利用Leggett-Williams不动点定理,建立一类四阶四点边值问题三个正解的存在性定理,并对所得结论给出具体的应用.By using the Leggett-Williams fixed point theorem,the existence theorem of triple positive solutions for a class of fourth-order four-point boundary value problems was established.An applicable example was included to demonstrate the result obtained.

关 键 词：四点边值问题 三个正解 LEGGETT-WILLIAMS不动点定理 

分 类 号：O175.8[理学—数学]