摘要
利用 Williams- Leggett定理 ,得到了两端固定的弹性梁方程 y″″( x) - f( y( x) ) =0 ,y( 0 ) =y( 1 ) =y′( 0 ) =y′( 1 ) =0三个正解的存在性结果 .
By using Williams\|Leggett's theorem, the existence of three positive solutions of the fourth\|order boundary value problem y″″(x)-f(y(x))=0, y(0)=y(1)=y′(0)=y′(1)=0 is obtained, which describes the deformations of elastic beam whose both end\|points are fixed.
出处
《甘肃科学学报》
2002年第2期9-11,共3页
Journal of Gansu Sciences
基金
西北师范大学青年基金资助项目
关键词
弹性梁方程
边值问题
正解
beam equation
boundary value problem
positive solution
