摘要
对一类边值问题u″+f(t,u) =0 ,αu(0 ) - βu′(0 ) =0 ,γu(1) +δu′(1) =0建立了多重正解的存在性定理 ,其中 f(t,u)在一个端点 (∞ )是次线性 ,在另一个端点 (0 )
The authors study the existence of multiple positive solution of the equations -u″=f(t,u), subject to linear boundary conditions. The results show that there are at least two positive solutions if f(t,u) is superlinear at one end point (zero or inflity) and sublinear at the other.
出处
《曲阜师范大学学报(自然科学版)》
CAS
2002年第3期36-38,共3页
Journal of Qufu Normal University(Natural Science)
基金
国家自然科学基金 (198710 48)
山东省自然科学基金资助项目 (Y2 0 0 1A0 3 )