中文摘要：

利用不动点定理,讨论二阶四点p-Laplacian非线性边值问题{{（Ф p（u＇））＇＋f（t,u（t）,u＇（t））=0,00,0〈ξ〈η〈1.得到了3个正解存在的充分条件,并给出了1个实例.

英文摘要：

In this paper,the nonlinear second-order four-point boundary value problem with the p-Laplacian{{（Ф p（u＇））＇＋f（t,u（t）,u＇（t））=0,0〈t〈1,u（0）-αu＇（ξ）=0,u（1）＋βu＇（η）=0,is studied,where α,β〉 0,0〈 ξ 〈η〈 1. By using the fixed-point theorem in cone,some new sufficient conditions are obtained for the existence of three positive solutions,and an example is given to illustrate the results.