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时间尺度上三阶非线性中立型分布时滞动力方程的振动性

Oscillation of Third-order Nonlinear Neutral Distributed Delay Dynamic Equations on Time Scales
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摘要 研究时间尺度上三阶非线性中立型分布时滞动力方程的振动性,利用广义Riccati变换和不等式技巧,建立了一个保证该方程每一个解振动或者收敛于零的充分性定理.本文所得定理推广和改进了已有文献中的相应结果. In this paper,we study the oscillation of third-order nonlinear neutral type distributed delay dynamic equations on time scales.by using generalized Riccati transformation and inequality technique,we establish a sufficient condition to ensure that every solution of the equation oscillates or converges to zero.these results extend and improve the results obtained in previous literatures.
作者 张燕燕 仉志余 ZHANG Yan-yan;ZHANG Zhi-yu(School of Science,North University of China,Taiyuan 030051,China;Department of Science,Taiyuan Institute of Technology,Taiyuan 030008,China)
机构地区 中北大学理学院 太原工业学院理学系
出处 《数学的实践与认识》 北大核心 2020年第4期215-222,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(11701528,11647034) 山西省自然科学基金(2011011002-3).
关键词 时间尺度 中立型 分布时滞 动力方程 振动性 time scale neutral type distributed delay dynamic equation oscillation
分类号 O175 [理学—基础数学]
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  • 1仉志余,王晓霞,林诗仲,俞元洪.非线性二阶中立型时滞微分方程的振动和非振动准则[J].系统科学与数学,2006,26(3):325-334. 被引量：24
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数学的实践与认识
2020年 第4期

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