一类四阶非线性边值问题多个正解的存在性  

Existence of Multiple Positive Solutions for a Class of Nonlinear Fourth-Order Boundary Value Problems

作　　者：康聪聪 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2022年第7期1196-1204,共9页Pure Mathematics

摘　　要：本文运用锥上的不动点定理研究了四阶非线性边值问题多个正解的存在性, 其中 λ > 0 是参数,ρi∈ C4−i([0,1],(0,∞)),i=0,1,2,3,4,f∈C([0,∞),[0,∞)),且在[0,1]的任何子区间上不恒为零。This paper considers with the existence of multiple positive solutions for nonlinear fourth-order boundary value problems by using fixed point theorem in cones. Where λ > 0 is a parameter, ρi∈ C4−i([0,1],(0,∞)),i=0,1,2,3,4,f∈C([0,∞),[0,∞)),and does not vanish identically on any subinterval of [0,1].

关 键 词：四阶 不动点定理 非共辄 拟导数 

分 类 号：O175.8[理学—数学]