时间测度链上三阶时滞动力方程的振动性

doi:10.13371/j.cnki.chin.q.j.m.2014.03.015

数学季刊 ›› 2014, Vol. 29 ›› Issue (3): 447-456.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.015

时间测度链上三阶时滞动力方程的振动性

Department of Mathematics and Physics, Wuzhou University

收稿日期:2013-05-02 出版日期:2014-09-30 发布日期:2020-11-30
作者简介:YANG Jia-shan(1963-), male, native of Chengbu, Hunan, a professor of Wuzhou University, engages in differential and difference equation, dynamic system.
基金资助:
Supported by the NNSF of China(11071222)； Supported by the NSF of Hunan Province(12JJ6006)； Supported by Scientific Research Fund of Education Department of Guangxi Zhuang Autonomous Region(2013YB223)；

Oscillation of Third-order Delay Dynamic Equations on Time Scales

Department of Mathematics and Physics, Wuzhou University

Received:2013-05-02 Online:2014-09-30 Published:2020-11-30
About author:YANG Jia-shan(1963-), male, native of Chengbu, Hunan, a professor of Wuzhou University, engages in differential and difference equation, dynamic system.
Supported by:
Supported by the NNSF of China(11071222)； Supported by the NSF of Hunan Province(12JJ6006)； Supported by Scientific Research Fund of Education Department of Guangxi Zhuang Autonomous Region(2013YB223)；

摘要/Abstract

摘要： This paper is concerned with the oscillatory behavior of a class of third-order nonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscillation criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results.

关键词: oscillation, time scales, delay dynamic equations, Riccati transformation, nonlinear neutral term

Abstract: This paper is concerned with the oscillatory behavior of a class of third-order nonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscillation criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results.

Key words: oscillation, time scales, delay dynamic equations, Riccati transformation, nonlinear neutral term

中图分类号:

O175

杨甲山. 时间测度链上三阶时滞动力方程的振动性[J]. 数学季刊, 2014, 29(3): 447-456.

YANG Jia-shan. Oscillation of Third-order Delay Dynamic Equations on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 447-456.

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时间测度链上三阶时滞动力方程的振动性

Oscillation of Third-order Delay Dynamic Equations on Time Scales

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