The existence of periodic solution for infinite dimensional Hamiltonian systems

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The existence of periodic solution for infinite dimensional Hamiltonian systems

机译：无限维哈密顿系统周期解的存在性

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In this paper, we will consider a kind of infinite dimensional Hamiltonian system (HS), by the method of saddle point reduction, topology degree and the index defined in Wang and Liu (2015), we will get the existence of periodic solution for (HS). (C) 2019 Elsevier Ltd. All rights reserved.

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《Computers & mathematics with applications》 |2020年第2期|354-362|共9页
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Henan Univ Sch Math & Stat Kaifeng 475000 Peoples R China;

Henan Univ Sch Math & Stat Kaifeng 475000 Peoples R China|Shandong Univ Dept Math Jinan 250100 Shandong Peoples R China;

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正文语种 eng
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关键词
Infinite dimensional Hamiltonian systems; Periodic solution; Variational methods;

机译：无限维哈密顿系统;定期解决方案;变体方法;

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2. Existence theorem of periodical solutions of Hamiltonian systems in infinite-dimensional Hilbert spaces [J] . George Dinca, Daniel Pasca Differential and integral equations . 2001,第4期

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6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

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8. Existence of Periodic Solutions for a Class of Symmetric Hamiltonian Systems [R] . Rabinowitz, P. H. 1986

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The existence of periodic solution for infinite dimensional Hamiltonian systems

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