【摘要】 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,Δφp(Δu(t-1))+a(t)f(u(t))=0,Δu(0)=u(T+2)=0正解的存在性,其中φp(s)=s p-2s,p>1.建立了该问题至少存在3个正解的充分条件.更多还原

【Abstract】 By means of the Leggett-Williams fixed-point theorem in cones,we study the existence of positive solutions for the nonlinear P-Laplacian boundary value problemΔφ_p(Δu(t-1))]+a(t)f(u(t))=0,Δu(0)=u(T+2)=0,in which φ_p(s)=｜s｜~p-2s,p>1.Sufficient conditions are established so that there exist at least three positive solutions.更多还原