带有p-Laplacian算子的分数阶多点边值问题正解的存在性

Existence of positive solution for fractional multipoint boundary value problem with p-Laplacian operator

考虑如下分数阶多点边值问题:Δ(φp(Δνν-1x(t)))+f(t+ν,x(t+ν))=0,t∈[0,T-1]N0;Δνν-1x(t)t=0=∑ni=1αiΔνν-1x(t)t=ξi,x(T+ν)=0,根据锥上的不动点理论结合变换技巧给出该方程存在正解的充分性条件.

The following fractional multipoint boundary value problem is considered：Δ（φp（Δνν-1x（t）））＋f（t＋ν,x（t＋ν））=0,t∈[0,T-1]N0;Δνν-1x（t）t=0=∑ni=1αiΔνν-1x（t）t=ξi,x（T＋ν）=0,byusing the fixed theorem on cone and combining the transformation technique, and the sufficient con- dition for the existence of positive solutions of the equation is given.