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四阶Duffing方程周期解的存在性 被引量：1

Existence of Periodic Solutions for Fourth Order Duffing Equations
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摘要 利用拓扑度理论,证明了四阶Duffing方程x(4)+x′+g(x)=e(t)周期解的存在性. The existence of periodic solutions of fourth order Dufl＇ing equations x^（4）＋x＇＋g（x）=e（t） is proved via the topological degree theory.
作者 贾秀利 卢秀双 冀书关
机构地区 吉林大学数学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2007年第2期219-220,共2页 Journal of Jilin University:Science Edition
基金 吉林大学研究生创新基金(批准号:理学301021)
关键词 DUFFING方程 周期解 拓扑度 ： Duffing equation periodic solution topological degree
分类号 O175.1 [理学—基础数学]
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参考文献6

  • 1刘文斌,李勇.高阶Duffing方程周期解的存在性[J].数学学报（中文版）,2003,46(1):49-56. 被引量：6
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二级参考文献1

共引文献7

同被引文献13

  • 1GUO Zhi-ming, YU Jian-she. Multiplicity Results for Periodic Solutions to Delay Differential Equations via Critical Point Theory [J]. J Differential Equations, 2005, 218(1): 15-35.
  • 2HAN Xiao, JI Shu-guan, MA Zhong-hua. On the Existence and Multiplicity of Positive Periodic Solutions for First-Order Vector Differential Equation[J]. J Math Anal Appl, 2007, 329(2) : 977-986.
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  • 6LIANG Shu-qing. Existence of Non-collision Periodic Solutions for Second Order Singular Dynamical Systems [J]. Topoi Methods Nonlinear Anal, 2010, 35(1) : 127 137.
  • 7JI Shu-guan, SHI Shao-yun. Periodic Solutions for a Class of Second-Order Ordinary Differential Equations [J]. J Optim Theory Appl, 2006, 130(1): 125-137.
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引证文献1

吉林大学学报（理学版）
2007年 第2期

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