一类四阶非线性微分方程三点边值问题正解的存在性

Existence of Positive Soutions for a Class of Fourth-order Three-point Boundary Value Problems

利用关于严格集压缩算子的锥拉伸与锥压缩不动点定理,讨论了Banach空间中一类四阶非线性微分方程三点边值问题正解的存在性。

Using cone compression and expansion fixed point theorem of a strict set contraction operator, The existence of positive solutions of the fourth-order three-point boundary value problem in Banach space is dealed.