Oscillation analysis of certain second-order nonlinear damped dynamic equations on time scales(时间模上二阶非线性阻尼动力方程的振动性分析)

YANGJiashan(杨甲山); TANWeiming(谭伟明); QINXuewen(覃学文); SUFang(苏芳)

doi:10.3785/j.issn.1008-9497.2016.01.011

Zhejiang Daxue xuebao. Lixue ban (Jan 2016)

Oscillation analysis of certain second-order nonlinear damped dynamic equations on time scales(时间模上二阶非线性阻尼动力方程的振动性分析)

YANGJiashan(杨甲山),
TANWeiming(谭伟明),
QINXuewen(覃学文),
SUFang(苏芳)

Affiliations

YANGJiashan(杨甲山): School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China(梧州学院信息与电子工程学院，广西　梧州　543002)
TANWeiming(谭伟明): School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China(梧州学院信息与电子工程学院，广西　梧州　543002)
QINXuewen(覃学文): School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China(梧州学院信息与电子工程学院，广西　梧州　543002)
SUFang(苏芳): School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China(梧州学院信息与电子工程学院，广西　梧州　543002)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2016.01.011
Journal volume & issue: Vol. 43, no. 1
pp. 64 – 70

Abstract

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研究了时间模T上的一类具有阻尼项的二阶非线性中立型变时滞动力方程的振动性，利用时间模上的微积分理论和大量不等式技巧，基于Riccati变换技术和H函数法，得到了该方程的5个振动定理.特别地，获得的Hille型和Kamenev型振动准则推广并改进了一些相关文献的已知结果，并给出例子说明了定理假设条件是较宽松的.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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