摘要
利用锥不动点定理获得了奇异非线性四阶微分方程u(4)(t)-q(t)f(u(t))=0满足边界条件u(0)=u(1)=u′(0)=u′(1)=0的正解的存在性,这里q在t=0和t=1时具有奇性.
In this paper,establish the existence of positive solutions to singular fourth order boundary value problem u(4)(t)-q(t)f(u(t))=0 with u(0)=u′(1)=u′(0)=u(1)=0 by using the fixed point theorem in cones.The singularity may appear at t=0 or t=1.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
北大核心
2003年第3期1-8,共8页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(19871012)
关键词
四阶非线性方程
两点边值问题
正解
存在性
奇异
fourth order nonlinear differential equations
two point boundary value problem
existence
positive solutions
singular problem