中文摘要：

研究了一类四阶超线性微分方程组边值问题解的存在性以及多解性.所用的方法是经典的变分技巧和C lark定理.研究结果将文献中单个方程的相关结论推广到方程组的情形,并且将非线性项为3次增长推广到一般的超线性增长.

英文摘要：

This paper deals with the existence and multiplicity of solutions of the boundary value problem of fourth order super-linear differential equations.By making use of the classical variational techniques and Clark theorem,the existence and multiplicity of periodic 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.