SOME UNITED EXISTENCE RESULTS OF PERIODIC SOLUTIONS FOR NON-QUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS

Xingyong Zhang; Xianhua Tang

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SOME UNITED EXISTENCE RESULTS OF PERIODIC SOLUTIONS FOR NON-QUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS

机译：非二次二阶哈密顿系统周期解的一些统一存在结果

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摘要

In this paper, some existence theorems are obtained for periodic solutions of second order Hamiltonian systems under non-quadratic conditions by using the minimax principle. Our results unite, extend and improve those relative works in some known literature.

机译：本文利用极大极小原理，获得了非二次条件下二阶哈密顿系统周期解的一些存在性定理。我们的研究结果统一，扩展和完善了一些已知文献中的相关作品。

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《Communications on pure and applied analysis》 |2014年第1期|共21页
作者
Xingyong Zhang; Xianhua Tang;
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正文语种 eng
中图分类数学;
关键词
Second order Hamiltonian system; nontrivial periodic solution; nonconstant periodic solution; critical point; linking theorem;

机译：二阶哈密顿系统非平凡周期解非常周期解临界点链接定理;

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专利

1. SOME UNITED EXISTENCE RESULTS OF PERIODIC SOLUTIONS FOR NON-QUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS [J] . Xingyong Zhang, Xianhua Tang Communications on pure and applied analysis . 2014,第1期

机译：非二次二阶哈密顿系统周期解的一些统一存在结果
2. The existence of periodic solution for infinite dimensional Hamiltonian systems [J] . Computers & mathematics with applications . 2020,第2期

机译：无限维哈密顿系统周期解的存在性
3. Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions [J] . Chen Xingfan, Guo Fei, Liu Peng Frontiers of mathematics in China . 2018,第6期

机译：渐近线性条件的二阶哈密顿系统周期解的存在性
4. Existence of periodic solution for a class of subquadratic second-order non-autonomous Hamiltonian systems [C] . Jiang Qin, Ma Sheng 2011 International Conference on Consumer Electronics, Communications and Networks . 2011

机译：一类二次二次非自治哈密顿系统的周期解的存在性
5. An extension of KAM theory to quasi-periodic breather solutions in Hamiltonian lattice systems. [D] . Viveros Rogel, Jorge. 2007

机译：将KAM理论扩展到哈密顿晶格系统中的准周期呼吸解。
6. Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance [O] . Anna Gołȩbiewska -1

机译：具有共振的渐近线性自治哈密顿系统的周期解
7. SOME UNITED EXISTENCE RESULTS OF PERIODIC SOLUTIONS FOR NON-QUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS [O] . Xingyong Zhang, Xianhua Tang 2014

机译：非二次二阶哈密顿系统周期解的一些统一存在结果
8. Existence of Periodic Solutions for a Class of Symmetric Hamiltonian Systems [R] . Rabinowitz, P. H. 1986

机译：一类对称哈密顿系统周期解的存在性

SOME UNITED EXISTENCE RESULTS OF PERIODIC SOLUTIONS FOR NON-QUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS

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