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arXiv 1302.4309math.DSmath.CA
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非自治次线性一阶哈密顿系统的下调和解

Subharmonic solutions for nonautonomous sublinear first order Hamiltonian systems

A. Raouf Chouikha, Mohsen Timoumi

摘要:

研究了一类非自治一阶哈密顿系统的下调和解的存在性.我们还研究了这样的解决方案的极小期。我们的结果,扩展和改进了许多以前的结果将说明具体的例子。我们的主要工具是临界点理论中的极小极大方法和最小作用量原理。{ \bf关键词。}哈密顿系统。临界点理论。最小作用量原则。下调和解。

英文摘要:

In this paper, the existence of subharmonic solutions for a class of non-autonomous first-order Hamiltonian systems is investigated. We also study the minimality of periods for such solutions. Our results which extend and improve many previous results will be illustrated by specific examples. Our main tools are the minimax methods in critical point theory and the least action principle. {\bf Key words.} Hamiltonian systems. Critical point theory. Least action principle. Subharmonic solutions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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