一类四阶奇异边值问题的正解

摘要

Some existence results existence of the positive solutions for singular boundary value problems{u(4)(t) = p(t)f(u(t)), t ∈ (0,1)u(0) = u(1) = 0,u'(0) = u'(1) = 0are given, where the function p(t) may be singular at t = 0, 1.%本文讨论了如下四阶奇异边值问题正解的存在性{u(4)=p(t)f(u(t)),(0,1),{u(0)=u(1)=0,u′(0)=u′(1)=0,其中p可能在t=0,1都有奇点.