一类二阶泛函边值问题正解的存在性

The Existence of Positive Solutions to a Second Order of Functional Boundary Value Problem

讨论方程u″+h(t)f(u)=0在边界条件u'(0)=1乙0b(t)u'(t)dt,u(1)=t0乙0a(t)u(t)dt-1乙t0a(t)u(t)dt下正解的存在性,给出了该问题至少存在一个正解的存在性定理。

The existence of positive solutions to the equation u″＋h（t）f（u）=0 withu′（0）=∫^1 0b（t）u＇（t）dt,u（1）=∫^t0 0（t）u（t）dt-∫^1 t0a（t）u（t） dt is discussed and at least one positive solution of the existence theory are obtained.