摘要
利用Schauder不动点定理 ,讨论两端固定的静态梁方程y″″(x) =f(x ,y(x) ) ,y(0 ) =a ,y(1) =b ,y′(0 ) =c ,y′(1) =d的正解存在性 。
Using Schauder fixed point theorem,the existence of positive solutions for a fourth-order two-point boundary value problemy″″(x)=f(x,y(x)) y(0)=a,y(1)=b,y′(0)=c,y′(1)=d is discussed,which modeling the deformation of an elastic beam which end-points are fixed.A sufficient condition for the existence of positive solution to this BVP is obtained.
出处
《西北师范大学学报（自然科学版）》
CAS
2001年第4期19-23,共5页
Journal of Northwest Normal University(Natural Science)
