| 一类非自治二阶Hamilton系统周期解的存在性 |
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| 引用本文： | 张申贵.一类非自治二阶Hamilton系统周期解的存在性[J].河北师范大学学报(自然科学版),2012,36(2):115-120. |
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| 作者姓名： | 张申贵 |
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| 作者单位： | 西北民族大学数学与计算机科学学院,甘肃兰州,730030 |
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| 基金项目： | 国家自然科学基金(11161041) |
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| 摘 要： | 利用鞍点定理讨论了一类非自治二阶Hamilton系统:(t)+Au(t)+ΔF(t,u(t))=0,a.e.t∈(0,2π),u(0)-u(2π)=.u(0)-u.(2π)=0周期解的存在性,其中A是N×N实对称矩阵,A具有形如k2的特征值,非线性项ΔF(t,u(t))是线性增长的.
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| 关 键 词： | 非自治二阶系统 周期解 线性增长条件 临界点 |
Periodic Solution of a Class of Nonautomous Second Order Hamilton Systems |
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| ZHANG Shengui.Periodic Solution of a Class of Nonautomous Second Order Hamilton Systems[J].Journal of Hebei Normal University,2012,36(2):115-120. |
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| Authors: | ZHANG Shengui |
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| Institution: | ZHANG Shengui(College of Mathematics and Computer Science,Northwest University for Nationalities,Gansu Lanzhou 730030,China) |
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| Abstract: | By saddle point theorem,the existence of periodic solution for a class of nonautomons second order system as follows:(t)+Au(t)+ΔF(t,u(t))=0,a.e.t∈(0,2π),u(0)-u(2π)=(0)-(2π)=0is studied.The symmetric matric A has eigenvalue k2,ΔF(t,u(t)) satisfies linear condition. |
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| Keywords: | nonautomous second order system periodic solution linear condition critical point |
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