摘要
本文研究一类带有更广泛而又不失物理意义阻尼项的二阶非线性中立型Emden-Fowler时滞微分方程的振动性和渐近性.利用指数变换、Riccati变换和不等式技巧,获得该类方程几个新的振动准则,推广、改进和统一已有文献中的研究成果,并逐一给出例子说明了相应定理的实用效果.
In this paper,by using the methods of exponential function transformation,Riccati transformation and inequality techniques,we study the oscillation and asymptotic behavior for a class of second order nonlinear neutral delay Emden-Fowler differential equations with the wider range and without losing physical meaning damping terms.Several new oscillation criteria which extend and improve some known results in the literature recently are established and some examples are provided to illustrate the effect of new theorems.
作者
仉志余
宋菲菲
俞元洪
ZHANG Zhiyu;SONG Feifei;YU Yuanhong(Department of Science,Taiyuan Institute of Technology,Taiyuan 030008,China;Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China)
出处
《应用数学》
CSCD
北大核心
2020年第3期770-781,共12页
Mathematica Applicata
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
振动准则
渐近性
EMDEN-FOWLER方程
中立型非线性微分方程
二阶
阻尼项
Oscillation criterion
Asymptotic behavior
Emden-Fowler type equation
Neutral nonlinear differential equation
Second order
Damping term
