Periodic and Subharmonic Solutions for a Class of Sublinear First-Order Hamiltonian Systems

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Periodic and Subharmonic Solutions for a Class of Sublinear First-Order Hamiltonian Systems

机译：一类Sublinear一阶Hamiltonian系统的定期和次谐波解决方案

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By the aids of variational methods, we study the existence of periodic and subharmonic solutions, and the minimality of their periods, for the nonautonomous first order Hamiltonian system J<(u)over dot>(t) + del H(t, u(t)) + h(t) = 0 under some kind of sublinear nonlinearity conditions. Our results are new and generalize and extend some results in the literature.

机译：通过变分方法的艾滋病，我们研究了周期性和次谐波解决方案的存在，以及它们的时期的最小值，对于非自治的第一阶哈密尔顿系统J <（U）over>（t）+ del h（t，u（ T））+ H（T）= 0在某种载入的非线性条件下。我们的结果是新的和概括的，在文献中延伸了一些结果。

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《Mediterranean journal of mathematics》 |2020年第1期|共19页
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正文语种 eng
中图分类数学;
关键词
Hamiltonian systems; sublinear nonlinearity; subharmonics; minimal periods; critical point theory;

机译：汉密尔顿系统;乘以非线性;子发行;最小的时期;关键点理论;

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专利

1. Periodic and Subharmonic Solutions for a Class of Sublinear First-Order Hamiltonian Systems [J] . Mediterranean journal of mathematics . 2020,第1期

机译：一类Sublinear一阶Hamiltonian系统的定期和次谐波解决方案
2. SUBHARMONIC AND MULTIPLE PERIODIC SOLUTIONSFOR HAMILTONIAN SYSTEMS WITHLOCAL PARTIAL SUBLINEAR NONLINEARITY [J] . Mohsen Timoumi Demonstratio Mathematica . 2009,第2期

机译：具有局部偏子线性非线性的Hamilton系统的亚谐和多周期解
3. SUBHARMONIC SOLUTIONS AND MINIMAL PERIODIC SOLUTIONS OF FIRST-ORDER HAMILTONIAN SYSTEMS WITH ANISOTROPIC GROWTH [J] . Chungen Liu, Xiaofei Zhang Discrete and continuous dynamical systems . 2017,第3期

机译：一阶具有各向异性增长的哈密顿系统的亚谐解和最小周期解
4. Periodic and Subharmonic Solutions for a Class of Local Nonquadratic Second-Order Hamiltonian Systems [C] . Jiang Qin, Ma Sheng International Conference on Computer Science and Software Engineering . 2008

机译：一类本地非化二阶哈密尔顿系统的定期和次谐波解决方案
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. Subharmonic Solutions and Minimal Periodic Solutions of First-order Hamiltonian Systems with Anisotropic Growth [O] . Liu, Chungen, Zhang, Xiaofei 2016

机译：一阶解的次调和解及极小周期解具有各向异性增长的哈密顿系统

Periodic and Subharmonic Solutions for a Class of Sublinear First-Order Hamiltonian Systems

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