ON PERIODIC SOLUTIONS OF NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS

Xingyong Zhang; Yinggao Zhou

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ON PERIODIC SOLUTIONS OF NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS

机译：非自治二阶哈密顿系统的周期解

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摘要

The purpose of this paper is to study the existence of periodic solutions for the non-autonomous second order Hamiltonian systemrnue(t) = ▽F(t,u(t)), a.e. t∈[0,T], u(0)- u(T) = u(0) - u(T) = 0.rnSome new existence theorems are obtained by the least action principle.

机译：本文的目的是研究非自治二阶哈密顿系统的周期解的存在（t）=▽F（t，u（t）），a.e. t∈[0，T]，u（0）-u（T）= u（0）-u（T）=0。rn通过最小作用原理获得了一些新的存在性定理。

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来源
《Applications of Mathematics》 |2010年第5期|p.373-384|共12页
作者
Xingyong Zhang; Yinggao Zhou;
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作者单位

School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China;

rnSchool of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China School of Information Science and Engineering, Central South University, Changsha, Hunan 410083, P. R. China;

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原文格式 PDF
正文语种 eng
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关键词
periodic solution; critical point; non-autonomous second-order system; sobo-lev's inequality;

机译：周期解临界点;非自治二阶系统;sobo-lev的不等式;

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ON PERIODIC SOLUTIONS OF NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS

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