一类非线性四阶常微分方程边值问题正解的存在性

Existence of positive solutions for a class of nonlinear fourth-order ordinary differential equations with boundary values

摘要:

本文研究了一类非线性四阶常微分方程边值问题正解的存在性,主要结果的证明基于锥拉伸与压缩不动点定理.

Abstract:

In this paper, we study existence of positive solutions for a class of nonlinear fourth-order ordinary differential equation with boundary values. The proofs of the main results are based on the fixed-point theorem of cone expansion-compression.