针对非自治Hamilton系统同宿轨道的存在性问题，以一类具有对称位势的二阶非自治Hamilton系统为例，在位势函数具有新的超二次条件下，利用变分学中的山路引理证明其至少存在一偶同宿轨道
Some existence theorems for even homoclinic orbits have been obtained for a class of secondorder nonautonomous Hamiltonian systems with symmetric potentials under a class of new superquadratic conditions by using the Mountain pass lemma.
肖莉.二阶非自治Hamilton系统的偶同宿轨道[J].湖南大学学报：自然科学版,2010,37(12):87~89
