摘要
本文得到了两点边值问题- (Φp(u′) )′ =λf(u(x) ) ;0 <x <1limx→ 0 +u(x) =∞ =limx→ 1 -u(x) ,非负解存在的必要条件和充分条件 ,这里λ >0是参数 。
In this paper, the necessary and sufficient conditions of the existence of nonnegative solutions for the two point boundary value problem -(Φ_p(u′))′=λf(u(x)); 0<x<1 (lim)x→0^+u(x)=∞=(lim)x→1^-u(x), is established, where λ>0 is a parameter and f is a smooth function.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
2004年第2期5-9,共5页
Journal of Nanjing Normal University(Natural Science Edition)
基金
SupportedbytheScienceFoundationofNanjingNormalUniversity ( 2 0 0 3SXXXGQ2B3 7)andtheScienceFoundationof2 11Engineering
关键词
拟线性常微分方程
爆破解
存在性
两点边值问题
explosive nonnegative solutions, two-point boundary value problems, existence
