| 用最小作用原理研究具有次线性的非线性项2阶系统 |
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| 引用本文： | 王少敏,杨存基. 用最小作用原理研究具有次线性的非线性项2阶系统[J]. 江西师范大学学报(自然科学版), 2013, 0(3): 236-239 |
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| 作者姓名： | 王少敏 杨存基 |
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| 作者单位： | 大理学院数学与计算机学院,云南大理,671000 |
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| 基金项目： | 国家自然科学基金(11261002);云南省科技厅应用基础课题(2011FZ167);云南省教育厅科学研究基金(09Y0367)资助项目 |
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| 摘 要： | 利用最小作用原理研究2阶系统ü(t)-A(t)u(t)=▽F(t,u(t)),a.e.t∈[0,T]u(0)-u(T)=(u)(0)-(u)(T)=0,的周期解的存在性,在非线性项是次线性及A(t)是1个连续N阶对称矩阵的条件下得到了该系统的2个新的存在性定理.
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| 关 键 词： | 周期解 最小作用原理 2阶系统 |
Research Second Order Systems with Sublinear Nonlinearity by the Least Action Principle |
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| WANG Shao-min,YANG Cun-ji. Research Second Order Systems with Sublinear Nonlinearity by the Least Action Principle[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2013, 0(3): 236-239 |
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| Authors: | WANG Shao-min YANG Cun-ji |
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| Affiliation: | 1.Department of Mathematics and Computer,Dali University,Dali Yunnan 671000,China) |
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| Abstract: | The existence of periodic solutions of the following second order systems{ü(t)-A(t)u(t)= SymbolQC@ F(t,u(t)),u(0)-u(T)=u(0)-u(T)=0,a.e.t∈[0,T]is studied by the least action principle.When the nonlinearity is sublinear and A(t) is a continuous symmetric matrix of N is a continuous symmetric matrix of der,two new existence theorems of this system are obtained. |
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| Keywords: | periodic solutions the least action principle second order systems |
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