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一类二阶Hamilton系统的周期解
Periodic Solutions of a Class of Second Order Hamiltonian Systmes
【摘要】 本文研究一类含非定线性项的二阶Hamilton系统多周期解问题.在位势函数满足超二次齐次条件下,利用临界点理论中对称型越山定理,证明了系统存在无穷多个给定周期的周期解.
【Abstract】 This paper deals with the multiplicity result of periodic solutions for a class of second order Hamiltonian systems with non definite linear term. Under the superquadratic hypothesis on potential, we prove the systems possess infinitely many solutions with prescibed period by applying the Symmetric mountain pass Theorem.
- 【文献出处】 数学研究与评论 ,JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION , 编辑部邮箱 ,1996年01期
- 【分类号】O175.1
- 【被引频次】8
- 【下载频次】31