作　　者： (韩卫卫）; (吴娇）;

机构地区： 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

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 函数 正周期解 弹性梁模型