一类非线性m点边值问题的3个正解的存在性

Three positive solutions of a class of nonlinear m-point boundary value problem

目的讨论了非线性m点边值问题的3个正解的存在性。方法利用Leggett-Williams不动点定理。结果与结论建立若干多重正解存在的充分条件,这些结果改进和推广了一些已知的结论。

Objective--To discuss the existence of three positive solutions of the nonlinear m-point boundary value problem. Methods--The Leggett-Williams fixed point theorem is used. Results and Conclusion--Some sufficient conditions for the existence of multiple positive solutions are established, and these results improve and generalize some known results.