摘要:运用迭代技巧考虑了带积分边界条件的三阶边值问题:{u'''(t)+f(t,u(t)=0,t∈[0,1],u(0)=0,u'(0)-1/0 g(t)u'(t)dt,u''(1)=0),不仅获得了其单调正解的存在性,而且迭代列的初值是简单的零函数或一次函数.
Abstract: By means of iterative techniques, a third-order boundary value problems with integral boundary conditions{u'''(t)+f(t,u(t)=0,t∈[0,1],u(0)=0,u'(0)-1/0 g(t)u'(t)dt,u''(1)=0)was considered and the existence of monotone positive solutions was obtained. Moreover, the iterative schemes started off with a zero or linear function.