中立型Emden-Fowler时滞微分方程的振动性

数学物理学报 ›› 2015, Vol. 35 ›› Issue (4): 803-814.

中立型Emden-Fowler时滞微分方程的振动性

曾云辉¹, 罗李平¹, 俞元洪²

1 衡阳师范学院数学与计算科学系, 湖南衡阳 421008;
2 中国科学院数学与系统科学研究院, 北京 100190

收稿日期:2014-09-15 修回日期:2015-03-04 出版日期:2015-08-25 发布日期:2015-08-25
作者简介:曾云辉, chj8121912@sina.com
基金资助:
湖南省"十二五"重点建设学科(湘教发[2011]76号)、衡阳市科技计划基金(2014KJ22)、衡阳市社科基金(2014D060)和2012年衡阳师范学院青骨干教师培养对象项目资助

Oscillation for Emden-Fowler Delay Differential Equations of Neutral Type

Zeng Yunhui¹, Luo liping¹, Yu Yuanhong²

1 Department of Mathematics and ComputationalScience, Hengyang Normal University, Hunan Hengyang 421008;
2 Academy of System Sciences, Chinese Academy of Sciences, Beijing 100190

Received:2014-09-15 Revised:2015-03-04 Online:2015-08-25 Published:2015-08-25

摘要/Abstract

摘要：

该文建立了广义中立型Emden-Fowler方程
(r(t)|z'(t)|^α-1z'(t))'+q(t)|x(σ(t))|_β-1x(σ(t))=0
的若干新的振动准则, 其中z(t)=x(t)+p(t)x(τ(t)),α>0,β>0, 所得结果改进和推广了最近文献中的一些结果.

关键词: Emden-Fowler方程, 中立型, 振动准则

Abstract:

In this paper we establish some new oscillation criteria for the generalized Emden-Fowler delay differential equations of neutral type of the form
(r(t)|z'(t)|^α-1z'(t))'+q(t)|x(σ(t))|_β-1x(σ(t))=0,
where z(t)=x(t)+p(t)x(τ(t)),α>0,β>0. The results obtained improve and extend some known results in the literature, recently.

Key words: Emden-Fowler equation, Neutral type, Oscillation criterion

中图分类号:

O175.27

曾云辉, 罗李平, 俞元洪. 中立型Emden-Fowler时滞微分方程的振动性[J]. 数学物理学报, 2015, 35(4): 803-814.

Zeng Yunhui, Luo liping, Yu Yuanhong. Oscillation for Emden-Fowler Delay Differential Equations of Neutral Type[J]. Acta mathematica scientia,Series A, 2015, 35(4): 803-814.

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