利用比较原理,通过构造L-拟上下解单调迭代过程,在L-拟上下解反序的情况下,获得了Banach空间中的一类二阶三点边值问题-u″(t)=f(t,u(t),u(t)),t∈I,u′(0)=θ,u(1)=δu(η)解的存在唯一性,并给出了该问题唯一解近似序列的误差估计.
Using the comparison principle and monotone iterative technique, the existence of unique solution for the second order three-point boundary value problen -u″(t)=f(t,u(t),u(t)),t∈I,u′(0)=θ,u(1)=δu(η) in Banach spaces is obtained, and the error es-timate of iterative sequences of the unique solution is also given, where the problems have L-quasi-upper and lower solutions in reversed order.