一类带参数的四阶两点边值问题的多解性  

Multiplicity of solutions for a class of fourth-order two-point boundary value problems with parameters

作　　者：张建梅 李杰梅 ZHANG Jian-mei;LI Jie-mei(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2期5-9,共5页Journal of Northwest Normal University(Natural Science)

基　　金：甘肃省高等学校创新能力提升项目(2019B-054);国家自然科学基金资助项目(11801243,61863022)。

摘　　要：研究一类带两个参数的四阶两点边值问题,在非线性项f满足一定条件时,运用Leggett-Williams不动点定理获得了该问题至少两个正解的存在性结果.最后通过3个例子说明了所获结果的有效性.When nonlinear term satisfies certain conditions,the existence of at least two positive solutions is discussed for a class of fourth-order two-point boundary value problems with two parameters by means of Leggett-Williams fixed point theorem.Finally,three models are given to verify the effectiveness of the obtained results.

关 键 词：四阶两点边值问题 多解性 LEGGETT-WILLIAMS不动点定理 GREEN函数 

分 类 号：O175.8[理学—数学]