期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Finding Periodic Solutions of High Order Duffing Equations via Homotopy Method

Finding Periodic Solutions of High Order Duffing Equations via Homotopy Method
下载PDF
导出
摘要 This paper presents a detailed analysis of finding the periodic solutions for the high order Duffing equation x^（2n） ＋ g（x） = e（t） （n ≥ 1）. Firstly, we give a constructive proof for the existence of periodic solutions via the homotopy method. Then we establish an efficient and global convergence method to find periodic solutions numerically. This paper presents a detailed analysis of finding the periodic solutions for the high order Duffing equation x^（2n） ＋ g（x） = e（t） （n ≥ 1）. Firstly, we give a constructive proof for the existence of periodic solutions via the homotopy method. Then we establish an efficient and global convergence method to find periodic solutions numerically.
作者 YANG XUE Xu Xu
机构地区 College of Matheraatics
出处 《Communications in Mathematical Research》 CSCD 2009年第3期193-203,共11页 数学研究通讯（英文版）
基金 Partly by NSFC (10501017) under Grants
关键词 high order Duffing equation periodic solution homotopy method high order Duffing equation, periodic solution, homotopy method
分类号 O175.14 [理学—基础数学] O221.2 [理学—运筹学与控制论]
  • 相关文献

参考文献22

  • 1Wang, Z., Xia, J. and Zheng, D., Periodic solutions of Duffing equations with semi-quadratic potential and singularity, J. Math. Anal. Appl., 321(2006), 273-285.
  • 2Rogerio, F. M., Existence of periodic solutions for second-order differential equations with singularities and the strong force condition, Ann. Mat. Puru Appl. (4), 317(2006), 1-13.
  • 3Habets, P. and Metzen, G., Existence of periodic solutions of Duffing equations, J. Differential Equations, 78(1989), 1-32.
  • 4Drabek, P. and Invernizzi, S., On the periodic BVP for the forced Duffing equations with jumping nonlinearity, Nonlinear Anal-Real., 10(1986), 643-650.
  • 5Esmailzadeh, E. and Nakhaie-Jazar, G., Periodic solution on a Mathieu-Duffing type equation, Int. J. Non-linear Mechanics, 32(1997), 905-912.
  • 6Li, X., Boundedness of solutiosn for Duffing's equations with similinear potentials, J. Differential Equations, 176(2001), 248-268.
  • 7Njoku, F. I. and Omari, P., Stability properties of periodic solutions of a During equation in the presence of lower and upper solutions, Appl. Math. Comput., 135(2003), 471-490.
  • 8Elnagar, G. N. and Kazemi, M. A., A cell-averaging Chehyshev spectral method for the controlled Duffing oscillator, Appl. Numer. Math., 18(1995), 461-471.
  • 9Wang, H. and Li, Y., Existence and uniqueness of periodic solutions for Duffing equations across many points of resonance, J. Differential Equations, 108(1994), 152-169.
  • 10Reissing, R., Congtrative mappings and periodi-Cally perturbed n0ncontrative systems, Lincei. Rend. Sco. Fiz. Mat. e nat., 58(1975), 696-702.
Communications in Mathematical Research
2009年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部