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

作　　者：李宪 达举霞 章欢 LI Xian;DA Juxia;ZHANG Huan(College of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730020,China;Department of Basic Teaching,Lanzhou Resources and Environment Voc-Tech University,Lanzhou 730070,China)

机构地区：[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

出　　处：《华南师范大学学报（自然科学版）》2024年第1期123-127,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11561063)。

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。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 

分 类 号：O175.8[理学—数学]