期刊文献+

Kamenev-type criteria for nonlinear damped dynamic equations 被引量:13

Kamenev-type criteria for nonlinear damped dynamic equations
原文传递
导出
摘要 We establish a new Kamenev-type theorem for a class of second-order nonlinear damped delay dynamic equations on a time scale by using the generalized Riccati transformation technique. The criterion obtained improves related contributions to the subject. An example is provided to illustrate assumptions in our theorem are less restrictive. We establish a new Kamenev-type theorem for a class of second-order nonlinear damped delay dynamic equations on a time scale by using the generalized Riccati transformation technique. The criterion obtained improves related contributions to the subject. An example is provided to illustrate assumptions in our theorem are less restrictive.
出处 《Science China Mathematics》 SCIE CSCD 2015年第7期1445-1452,共8页 中国科学:数学(英文版)
基金 supported by the Applied Mathematics Enhancement Program of Linyi University
关键词 OSCILLATION second-order dynamic equation nonlinear damped delay equation time scale 非线性阻尼 动力学方程 标准 Riccati 二阶非线性 动力方程 时间尺度 变换技术
  • 相关文献

参考文献22

  • 1Agarwal R P, Bohner M, Li T, et al. Hille and Nehari type criteria for third-order delay dynamic equations. ,J Difference Equ Appl, 2013, 19:1563-1579.
  • 2Agarwal R P, Bohner M, Saker S H. Oscillation of second order delay dynamic equations. Can Appl Math Q, 2005, 13:1 -17.
  • 3Agarwal R P, Bohner M, Tang S, et al. Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations. Appl Math Comput, 2012, 219:3600- 3609.
  • 4Agarwal R P, O'Regan D, Saker S H. Oscillation criteria for second-order nonlinear neutral delay dynamic equations. J Math Anal Appl, 2004, 300:203- 217.
  • 5Akln-Bohner E, Bohner M, Saker S H. Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Electron Trans Numer AnM, 2007, 27:1 -12.
  • 6Bohner M, Erbe L, Peterson A. Oscillation for nonlinear second order dynamic equations on a time scale. J Math Anal Appl, 2005, 301:491-507.
  • 7Bohner M, Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications. Boston: Birkhiuser, 2001.
  • 8Erbe L, Hassn T S, Peterson A. Oscillation criteria for nonlinear damped dynamic equations on time scales. Appl Math Cornput, 2008, 203:343 -357.
  • 9Erbe L, Peterson A, Saker S H. Oscillation criteria for second-order nonlinear delay dynamic equations. J Math Anal Appl, 2007, 333:505-522.
  • 10Grace S R, Bohner M, Agarwal R P. On the oscillation of second-order half-linear dynamic equations. J Difference Equ Appl, 2009, 15:451 -460.

同被引文献65

引证文献13

二级引证文献26

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