期刊文献+

阻尼吊桥波方程的多重周期解

Multiple periodic solutions to a suspension bridge wave equation with damping
在线阅读 下载PDF
导出
摘要 目的研究阻尼吊桥扭转波方程的多重周期解的存在性。方法采用Leray-Schauder度理论的方法。结论与结论证明了阻尼吊桥扭转波方程有多重周期解。 Aim To investigate the existence of multiple periodic solutions for a suspension bridge wave equation with damping. Methods Leray-Schauder degree theory is adopted to study the afore- said aim. Results and Conclusion It is proved that the damped wave equation has multiple periodic solutions.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2012年第1期36-40,共5页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
关键词 吊桥方程 阻尼 周期解 Leray—Schauder度 suspension bridge equation damping periodic solutions Leray-bchauder degree
  • 相关文献

参考文献6

  • 1MOORE K S. Large torsional oscillations in a suspension bridge:multiple periodic solutions to a nonlinear wave equation[J].SIAM J on Mathematical Analysis,2002,(06):1411-1429.
  • 2MCKENNA P J. Large torsional oscillations in suspension bridges revisited:Fixing an old approximation[J].American Mathematical Monthly,1999,(01):1-18.
  • 3Kristen Sigrid Moore. Large Amplitude Torsional Oscillations in a Nonlinearly Suspended Beam:A Theoretical and Numerical Investigation[M].Farmington:University of Connecticut,1999.
  • 4MCKENNA P J,Kristen Sigrid Moore. Multiple periodic solutions to a suspension bridge ordinary dierential equation[J].Electron J Differ Equ Conf,2000.183-199.
  • 5LAZER A C,MCKENNA P J. Large-amplitude periodic oscillations in suspension bridge:some new connections with nonlinear analysis[J].SIAM Review,1990,(04):537-578.
  • 6MCKENNA P J. Large-amplitude periodic oscillations in simple and complex mechanical systems:outgrowths from nonlinear analysis[J].Milan Journal of Mathematics,2006,(01):79-115.

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