山东科学 ›› 2015, Vol. 28 ›› Issue (4): 73-78.doi: 10.3976/j.issn.1002-4026.2015.04.014

• 其他研究论文 • 上一篇    下一篇

时标上一类具有振动系数的三阶半线性时滞动力方程的振动性分析

郭丽娟,朱维钧,王俊俊   

  1. 平顶山学院数学与信息科学学院,河南 平顶山 467000
  • 收稿日期:2014-11-03 出版日期:2015-08-20 发布日期:2015-08-20
  • 作者简介:郭丽娟(1985 -),女,助教,硕士,研究方向为应用数学。Email: glj5916@126.com
  • 基金资助:
    河南省自然科学基金(2010A110001)

Bounded oscillation analysis for a type of thirdorder halflinear timelag dynamic equations with oscillating coefficients in time scale

GUO Lijuan, ZHU Weijun, WANG Junjun   

  1. School of Mathematics and Information Science,Pingdingshan University,Pingdingshan 467000,China
  • Received:2014-11-03 Online:2015-08-20 Published:2015-08-20

摘要: 研究时标T上具有振动系数的三阶半线性时滞动力方程的有界振动性。利用算子和积分技巧给出了该类方程不存在A型解(或B型解)的判定条件,拓展了一些已知的三阶动力方程振动性的结果.

关键词: 有界振动性, 时标, 动力方程, 振动系数, A型解, B型解

Abstract: We address the bounded oscillation criteria for thirdorder halflinear timelag dynamic equations in time scale.We also present determinant conditions that Atype (or Btype) solutions do not exist in such equations with operator and integral and extend some known results for the oscillation of thirdorder dynamic equations.

Key words: dynamic equations, oscillating coefficients, bounded oscillation, Atype solution, Btype solution, time scale

中图分类号: 

  • O175.12