Using fixed point theorem aims to prove the existence of solutions of a sort of multi-point boundary value problem consisting of the higher-order p-Laplacian differential equation and the multi-point boundary condition. A sufficient condition for the existence of at least one solution to a sort of multi-point boundary value problems is obtained.%利用不动点定理证明了由高阶P-拉普拉斯算子微分方程和多点边值条件构成的一类多点边值问题的解的存在性.获得了此类边值问题至少存在一个正解的一个充分条件.
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