数学研究与评论
數學研究與評論
수학연구여평론
JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
2005年
4期
571-581
,共11页
奇异边值问题%正解%变分法
奇異邊值問題%正解%變分法
기이변치문제%정해%변분법
singular boundary value problem%positive solution%variational method
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.
本文討論瞭如下四階奇異邊值問題正解的存在性{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都有奇點.
본문토론료여하사계기이변치문제정해적존재성{u(4)=p(t)f(u(t)),(0,1),{u(0)=u(1)=0,u′(0)=u′(1)=0,기중p가능재t=0,1도유기점.
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.
