一类超线性二阶Hamiltonian周期解的存在性（英文）
发布时间：2019-06-17 08:36
【摘要】：本文研究一类具新的超二次条件的二阶Hamiltonian系统周期解问题,利用同调环绕理论和Morse理论得到一些周期解的存在性结论.
[Abstract]:In this paper, we study the problem of periodic solutions for a class of second order Hamiltonian systems with new hyperquadratic conditions, and obtain some results on the existence of periodic solutions by using homology surround theory and Morse theory.
【作者单位】： 安徽工贸职业技术学院基础部;安徽大学数学科学学院;
【基金】：Supported by Anhui Provincial Natural Science Foundation(1408085MA02) the Key Foundation of Anhui Education Bureau(KJ2012A019) 211 Project of Anhui University(02303303-33030011,J18520207)
【分类号】：O175
[Abstract]:In this paper, we study the problem of periodic solutions for a class of second order Hamiltonian systems with new hyperquadratic conditions, and obtain some results on the existence of periodic solutions by using homology surround theory and Morse theory.
【作者单位】： 安徽工贸职业技术学院基础部;安徽大学数学科学学院;
【基金】：Supported by Anhui Provincial Natural Science Foundation(1408085MA02) the Key Foundation of Anhui Education Bureau(KJ2012A019) 211 Project of Anhui University(02303303-33030011,J18520207)
【分类号】：O175
【参考文献】
相关期刊论文 前1条
1 刘嘉荃;;THE MORSE INDEX OF A SADDLE POINT[J];Systems Science and Mathematical Sciences;1989年01期
【共引文献】
相关期刊论文 前10条
1 郑兆岳;王奇;;一类超线性二阶Hamiltonian周期解的存在性（英文）[J];应用数学;2017年03期
2 裴瑞昌;张吉慧;马草川;;一类超线性(p,2)-拉普拉斯Dirichlet问题的非平凡解[J];数学物理学报;2017年01期
3 李，
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