一类奇异弹性梁方程正解的存在性  

The Existence of Positive Solutions of a Class of Singular Elastic Beam Equations

作　　者：陆海霞[1] 

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《应用数学》2016年第3期665-671,共7页Mathematica Applicata

基　　金：国家自然科学基金(11501260);宿迁市自然科学基金(Z201444)

摘　　要：利用全连续算子的逼近方法和不动点指数理论,在与相应线性算子第一特征值有关的条件下,对非线性项f不奇异与奇异两种情形分别讨论了两端固定的弹性梁方程正解的存在性.By using the approximation theorem of completely continuous operators and the fixed point index theory, we study the existence of positive solutions of a class of elastic beam equations rigidly fixed at both ends under some conditions concerning the first eigenvalues corresponding to the relevant linear operators, when the nonlinear term f is not singular and is allowed to be singular.

关 键 词：弹性梁方程 正解 奇异性 不动点指数 

分 类 号：O175.8[理学—数学]