一类常微分方程两点边值问题的多解存在性

Existence of multiple solutions for a kind of two-point boundary value problems of ordinary differential equations

讨论了一类常微分方程,即Sturm-Liouville两点边值问题的多解存在问题。通过给出恰当的假设条件,利用非线性算子方程多解存在性定理证明了其存在多个解。

A kind of ordinary differential equations is discussed,i, e. the existence of multiple solutions for Sturm-Liouville two-pont boundary value problems. After providing right hypothesis,the existence of multiple solutions is proved by using the existence theorem of multiple solutions for nonlinear operator equations.