非线性三阶三点边值问题多个正解的存在性

用锥上不动点定理研究非线性三阶三点边值问题多个正解的存在性, 其中ρ>0为一个常数, 0<η<1, α>0, f: ［0,1］×［0,∞)→［0,∞)是一个连续函数. 结果表明: 当f满足一定条件时, 该问题存在可数多个正解.

Existence of Multiple Positive Solutions for Nonlinear Third-Order Three-Point Boundary Value Problems

By using the fixed point theorem in cones, the author study the existence of multiple positive solutions for nonlinear third-order three-point boundary value problems where ρ>0 is a constant, 0<η<1, α>0, f: ［0,1］×［0,∞)→［0,∞) is a continuous function. The results show that when f satisfies certain conditions, there are countable multiple positive solutions for the problem.