一类四阶微分方程Neumann边值问题的多正解性  

Existence and Multiplicity of Positive Solutions of Neumann Boundary Value Problems for A Class of Fourth-order Differential Equations

作　　者：徐晶 高红亮 XU Jing;GAO Hong-liang(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：《滨州学院学报》2021年第4期50-57,共8页Journal of Binzhou University

基　　金：国家自然科学基金项目(11801243);兰州交通大学青年基金项目(2017012)。

摘　　要：考虑带有两个参数的一类四阶微分方程Neumann边值问题正解的存在性。运用LeggettWilliams型的两个不动点定理,研究了在非线性项满足一定条件下,该问题至少两个或三个正解的存在性。The existence and multiplicity of positive solutions of Neumann boundary value problems for a class of fourth-order differential equations with two parameters is considered.It is obtained that there are at least two or three positive solutions when the nonlinear satisfies certain conditions by the two fixed point theorems for Leggett-Williams type.

关 键 词：四阶微分方程 NEUMANN边值问题 Leggett-Williams型不动点定理 多正解 

分 类 号：O175.8[理学—数学]