一类四阶两点非线性奇异特征值常微分方程边值问题正解的存在性

Positive Solutions for Singular Nonlinear Eigenvalue Fourth-order Boundary Value Problem

考察边值问题y(4)=λ(fx,y) y(0)=y(1)=y″(0)=y″(1)=0的正解的存在性和多解性,其中λ>0,推广了[2]的结论.

This paper intends to prove that the singular nonlinear eigenvalue fourth-order boundary value problem, namely, {y（4）=λf（x,y） y（0）=y（1）=y″（0）=y″（1）=0 1 has positive solutions in the space C[0.1] 1.