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中文摘要：
作者在自反一致凸Banach空间W1,pT中对一类具有非自治p次线性的常维p-Laplace系统进行了研究.不同于以往的非线性部分为超二次和次二次的情形,此系统的非线性部分F（t,x）=G（x）＋H（t,x）满足p次线性，从而相应的泛函满足（PS）条件.利用临界点理论中的鞍点定理和极小作用原理，作者得到了此类系统的周期解的存在性，推广了已有的相关结果.
英文摘要：
In this paper, a class of ordinary p-Laplacian systems involving nonautonomous p-sublinear is studied in the reflexive and uniformly convex Banach space W1,p-T,here nonlinearity F（t,x）=G（x）＋H（t,x） of these systems is p-sublinear which is different from subquadractic and supquadractic conditions of references cited in this paper, therefore the corresponding functional to these systems satisfies （PS） condition. Then, existence results of periodic solutions for these systems are obtained by using the saddle point theorem and the least action principle in critical point theory.
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