摘要
The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which ensure the existence of at least three positive solutions of the boundary value problem are established.
通过应用Leggett Williams不动点定理 ,研究一类带有 p Laplacian算子的高阶常微分方程两点边值问题正解的存在性 .通过对函数 f加以适当的增长性限制条件 ,建立了该类问题可以存在 3个甚至任意奇数多个正解的存在性定理 .
基金
SponsoredbyNationalNaturalScienceFoundation (198710 0 5 )