数学物理学报 ›› 2021, Vol. 41 ›› Issue (1): 217-226.

• 论文 • 上一篇    下一篇

时标上具非正中立项的二阶动力方程的动力学性质

张萍1(),杨甲山2,*()   

  1. 1 邵阳学院理学院 湖南邵阳 422004
    2 梧州学院大数据与软件工程学院 广西梧州 543002
  • 收稿日期:2019-12-06 出版日期:2021-02-26 发布日期:2021-01-29
  • 通讯作者: 杨甲山 E-mail:411451097@qq.com;syxyyjs@163.com
  • 作者简介:张萍, E-mail: 411451097@qq.com
  • 基金资助:
    国家自然科学基金项目(51765060);湖南省教育厅一般项目(20C1683)

Dynamical Properties of Second-Order Dynamic Equations with a Nonpositive Neutral Coefficient on a Time Scale

Ping Zhang1(),Jiashan Yang2,*()   

  1. 1 School of Science, Shaoyang University, Hunan Shaoyang 422004
    2 School of Data Science and Software Engineering, Wuzhou University, Guangxi Wuzhou 543002
  • Received:2019-12-06 Online:2021-02-26 Published:2021-01-29
  • Contact: Jiashan Yang E-mail:411451097@qq.com;syxyyjs@163.com
  • Supported by:
    the NSFC(51765060);the Science Project of Hunan Provence EducationDepartment(20C1683)

摘要:

研究时标T上的一类具非正中立项的非线性非自治二阶动力方程的动力学性质.利用时标上的有关理论,并结合一些经典不等式,得到了该方程的一些新的动力学性质,进一步推广和完善了动力方程的动力学性质.

关键词: 动力学性质, 时标, 动力方程, Riccati变换, 非线性

Abstract:

This paper is concerned with dynamical behavior of second-order nonlinear non-autonomous delay dynamic equations with a nonpositive neutral coefficient on a time scale T. By using the time scales theory and combining with the classical inequality, we establish some new dynamical properties for the equations. The dynamical properties of dynamic equations are further generalized and perfected.

Key words: Dynamical properties, Time scales, Dynamic equations, Riccati substitutions, Nonlinear

中图分类号: 

  • O175.1