华东师范大学学报（自然科学版） >

2017 >Issue 3: 48 - 53

DOI: https://doi.org/10.3969/j.issn.1000-5641.2017.03.005

数学

三阶半线性中立型阻尼泛函微分方程的振动性

  • 林文贤
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  • 韩山师范学院 数学与统计学院, 广东 潮州 521041
林文贤,男,教授,研究方向为泛函微分方程理论及应用.E-mail:linwx66@163.com

收稿日期: 2016-09-18

  网络出版日期: 2017-05-18

基金资助

广东省高等教育教学改革项目（GDJG20142396）；广东省高等学校特色创新项目（2014GXJK125）；广东省自然科学基金（S2013010013372）

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Oscillation of certain third-order half linear neutral functional differential equations with damping

  • LIN Wen-xian
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  • College of Mathematics and Statistics, Hanshan Normal University, Chaozhou Guangdong 521041, China

Received date: 2016-09-18

  Online published: 2017-05-18

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摘要

研究了一类具有阻尼项的三阶半线性中立型泛函微分方程的振动性.通过引入参数函数和广义Riccati变换，结合积分平均技巧和一些分析技巧，建立了该类方程的所有解振动或收敛于零的若干新的充分条件，推广和改进最近文献的相应结果.

关键词： 三阶中立型方程; 半线性; 阻尼项; 振动性

本文引用格式

林文贤 . 三阶半线性中立型阻尼泛函微分方程的振动性[J]. 华东师范大学学报（自然科学版）, 2017 , (3) : 48 -53 . DOI: 10.3969/j.issn.1000-5641.2017.03.005

Abstract

This paper investigates the oscillation of third-order half linear neutral functional differential equations with damping. By introducing parameter function and the generalized Riccati transformation and using integral averaging technique and some necessary technique, some new sufficient conditions which ensure that any solution of such equation oscillates or converges to zero were proposed. The corresponding results in literature are extended and improved.

Key words： third-order neutral equations; half linear; damping terms; oscillation

参考文献

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[5] 韩忠月. 三阶非线性中立型泛函微分方程的振动性[J]. 华东师范大学学报(自然科学版), 2012(1): 113-120.
[6] ERBE L. Oscillation criteria for second order nonlinear delay equations [J]. Canad Math Bull, 1973, 16(1): 49-56.
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