中文摘要：

研究了一类四阶超线性微分方程组在周期条件下同宿解的存在性.所用的方法是经典的变分技巧和山路引理.研究结果不仅将文献中单个方程的相关结论推广到方程组的情形,而且将非线性项为三次增长推广到一般的超线性增长.

英文摘要：

The existence of homoclinic solutions of fourth order super-linear differential equations was studied by using the classical variational techniques and mountain pass theorem.The existence of homoclinic solutions of a single equation in literature are extended to that of equations,and also the cubic growth of nonlinear term is extended to a general form of super-linear growth.