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
DOI: 10.12677/PM.2022.127131, PDF, HTML, 下载: 130  浏览: 333  国家自然科学基金支持
作者: 康聪聪：西北师范大学数学与统计学院，甘肃 兰州
关键词: 四阶；不动点定理；非共辄；拟导数；Fourth-Order； Fixed Point Theorem； Disconjugacy； Quasi-Derivatives
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。
Abstract: 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].
文章引用：康聪聪. 一类四阶非线性边值问题多个正解的存在性[J]. 理论数学, 2022, 12(7): 1196-1204. https://doi.org/10.12677/PM.2022.127131

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