弹性梁模型下四阶变系数奇异微分方程正周期解的存在性  

Existence of Positive Periodic Solutions for Singular Four-Order Differential Equation with Variable Coefficients Via Elastic Beam Model

作　　者：韩卫卫[1] 吴娇[1] 

机构地区：[1]商丘学院应用科技学院,河南开封475000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2017年第4期483-487,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：河南省教育厅重点科研项目(17A110015;17B110002)

摘　　要：采用降阶法,研究四阶变系数奇异微分方程的Green函数及其性质,利用Schauder不动点理论,得到四阶变系数奇异微分方程正周期解的存在性.研究内容和方法扩展了四阶微分方程的应用范围.By using the method of reduced order, the Green functions and its properties on fourth-order singular differential equations with variable coefficients are sudied. And by an application of Schauder＇s fixed point theory, the existence of positive periodic solutions for a singular fourth,Order differential equation with variable coefficients are obtained. The research contents and methods to expand the scope of application of four order differential equations.

关 键 词：四阶变系数奇异微分方程 GREEN函数 正周期解 弹性梁模型 

分 类 号：O175[理学—数学]