摘要
考察了一类含一阶导数的半线性四阶边值问题的解和正解.主要工具是一个三阶两点边值问题的Green函数及Schauder不动点定理.在力学中,这类问题描述了一端固定,另一端活动的弹性梁的形变.
The solution and positive solution are considered for a class of semilinear fourth-order boundary value problems with first derivative. Main tools are the Green function of a third-order two-point boundary value problem and the Schauder fixed point theorem. In mechanics, this class of problems describes the deformation of an elastic beam one end of which is fixed and the other is movable.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第4期15-19,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(10571085)
关键词
常微分方程
边值问题
解
正解
存在性
ordinary differential equation
boundary value problem
solution
positive solution
existence
