【摘要】 本文应用Leggett-Williams不动点定理,研究具有P-Laplacian算子的非线性边值问题（φ（u′））′+α（t）f（u）=0,αφ（u（0））-βφ（u′（0））=0,γφ（u（1））+δφ（u′（1）） =0正解的存在性,其中φ（s）:=|s|^p-2s,p>1,我们建立了该问题至少存在三个正解的充分条件。更多还原

【Abstract】 By means of the Leggtt-Williams fixed-point theorem in cones, we study the existence of positive solutions for the nonlinear p-Laplacian boundary value problem, (ψ(u’))’ + α(t)f(u) = 0, αψ(u(0)) -β ψ(u’(0)) = 0, γψ(u(1)) +δψ(u’(1)) = 0, where ψ(s) := |s|P-2s, p > 1. Sufficient conditions are established which guarantee the existence of at least three positive solutions of this problem.更多还原