用鞍点定理和临界点理论，研究一类非自治二阶哈密顿系统周期解的存在性问题。将现有文献中关于非线性项在[0,T]上的一个条件减弱为在[0,T]的一个正测度子集E上成立，运用鞍点定理，得到周期解的新的存在性结果。%Used the saddle point theorem and critical point theory to study the existence of periodic solutions for a class of nonautonomous second order Hamiltonian systems. We weakened a condition about nonlinear term in [0,T] to the case that it held only on a positive measure subset E of [0,T] ,a new existence theorem was obtained by using the saddle point theorem.
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