洪友诚,尹群.一类二阶Hamilton系统的周期解[J].数学研究及应用,1996,16(1):13~19
一类二阶Hamilton系统的周期解
Periodic Solutions of a Class of Second Order Hamiltonian Systmes
投稿时间:1993-03-07  
DOI:10.3770/j.issn:1000-341X.1996.01.002
中文关键词:  
英文关键词:second order Hamiltonian systems  multiple periodic solutions  critical point theory.
基金项目:
作者单位
洪友诚 南京华东工学院应用数学系 
尹群 南京华东工学院应用数学系 
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中文摘要:
      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.
英文摘要:
      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.
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