一类带积分边界条件的三阶边值问题正解的存在性

Existence of Positive Solutions for Third-Order Boundary Value Problems with Integral Boundary Conditions

本文运用单调迭代法研究了三阶三点积分边值问题 正解的存在性,其中f:[0,T]×[0,+∞)→[0,+∞)连续,a:[0,T]→[0,+∞)非负连续且a(t)不恒等于零,η∈[0,T]为常数,α∈(0,1/η)。

In this paper, by applying monotone iteration method, this article studies the existence of positive solutions for third-order three-point integral boundary value problem where f:[0,T]×[0,+∞)→[0,+∞) is continuous,a:[0,T]→[0,+∞) is nonnegatively continuous and a(t) is not identical to zero,η∈[0,T] is constant,α∈(0,1/η).