一类含导数的非线性四点边值问题的多解性

Existence of Multiple Positive Solutions for a Nonlinear four-point Boundary Value Problems with Derivative

通过利用推广的Leggett-Williams定理,对于一类含导数的非线性二阶四点边值问题建立了三个正解以及2n-1个正解的存在性定理,并给出了相应的格林函数.

By making use of the generalized Leggett-Williams theorem, the existence theorems of three positive solutions and multiplicity for a class of nonlinear second-order four-point boundary value problems with derivative are established. The associated Green＇s function for the above problem is also given.