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

半线性Timoshenko系统解的爆破性

Blow up for a semilinear Timoshenko system
下载PDF
导出
摘要 研究了一类半线性Timoshenko系统初边值问题解的爆破性.利用凸性方法分三种情况给出了具任意初始能量和适当的初始条件下,Timoshenko系统初边值问题解的爆破性条件. This paper discusses the initial boundary value problem of the semilinear Timoshenko system. By the convexity method,based on three cases,some blow-up results for the solution to the Timoshenko system is obtained under arbitrary initial energy and appropriate initial datum.
作者 张桂霞
机构地区 三门峡市教师进修学校
出处 《安阳师范学院学报》 2016年第2期7-11,共5页 Journal of Anyang Normal University
基金 河南省基础与前沿研究项目(1323004100360)
关键词 Timoshenko系统 初边值问题 凸性方法 爆破性 Timoshenko system convexity method initial boundary value problem blowup
分类号 O172.27 [理学—基础数学]
  • 相关文献

参考文献16

  • 1Timoshenko S. On the correction for shear of the differen- tial equation for transverse vibrations of prismatic bars [ J]. Philosophical Magazine, 41 ( 1921 ), 744 - 746.
  • 2Kim J. U. , Renardy Y. Boundary control of the Timosh- enko beam [J]. SIAM J. Control Optim., 25 (6) (1987) :1417 - 1429.
  • 3Raposo C. A. , Ferreira J. , Santos M. L. , Castro N. N. O. Exponential stability for the Timoshenko system with two weak dampings[J]. Appl. Math. Lett. , 2005, 18: 535 - 541.
  • 4Soufyane A., Wehbe A. Uniform stabilization for the Timoshenko beam by a locally distributed damping [J]. Electron. J. Differential Equations, 29(2003) : 1 - 14.
  • 5Parente A. , Miranda M. M. , Jutuc L. P. S. G. On local solution for a nonlinear Timoshenko system [ C ]. Proc- cedings of the 55° SBA, UFU, Uberlandia - MG - Bra- zil, 2002 : 167 - 179.
  • 6Araruna F. D. , Borges J. E.S. Existence and boundary stabilization of the semilinear Mindlin -Timoshenko sys- tem[J]. EJQTDE, 34(2008):1 -27.
  • 7Chueshov I. Lasieeka I. Global attractors for Mindlin - Timoshenko plates and for their Kirchhoff limits[ J]. Mi- lan J. Math. ,74(2006) :117 - 138.
  • 8Gorgi C. , Vegni F. M. Uniform energy estimates for a semilinear evolution equation of the Mindlin - Timoshen- ko beam with memory [ J ] , Mathematical and Computer Modelling, 39 (2004), 1005 - 1021.
  • 9Messaoudi S. A. , Soufyane A. Boundary stabilization of a nonlinear system of Timoshenko type[J]. Nonlinear A- nalysis, 67 (2007), 2107 - 2112.
  • 10Soufyane A., Afilal M. , Aouam T. General decay of solutions of a nonlinear Timoshenko system with a boundary control of memory type [ J ]. Differential and Integral Equations, 22(2009), 1125 - 1139.
安阳师范学院学报
2016年 第2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