四阶两点边值问题n个对称正解的存在性
The Existence of n Symmetric Positive Solutions to A Fourth-Order Two-Point Boundary Value Problem
李宪 1达举霞 2章欢2
作者信息
- 1. 兰州财经大学信息工程学院,兰州 730020
- 2. 兰州资源环境职业技术大学基础教学部,兰州 730070
- 折叠
摘要
应用单调迭代法,研究了四阶两点边值问题u(4)(t)=f(u(t))(t?[0,1]),u(0)=u(1)=0,u"(0)=u"(1)=0正解的存在性.在边值问题满足特定的条件下,证明了该问题存在n个对称正解.
Abstract
Applying of the monotone iterative technique,the existence of positive solutions to the fourth-order boundary value problem is studied:u(4)(t)=f(u(t))(t?[0,1]),u(0)=u(1)=0,u"(0)=u"(1)=0.The above boundary value problem has n symmetric positive solutions under certain conditions.
关键词
四阶边值问题/格林函数/单调迭代法/对称正解Key words
fourth-order boundary value problem/Green's function/monotone iterative technique/symmetric posi-tive solutions引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据