一阶中立型时滞微分方程的一个新的振动性准则(英文) 被引量：1

A New Oscillatory Criterion for First Order Neutral Delay Differential Equations

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摘要文中首先得到一阶中立型时滞微分方程所有解振动的一个新的充分条件 ,然后把这个结果推广到一个一般的中立型微分方程。 In this paper, a new suffcient condition for the oscillation of all solutions of first order neutral delay differential equations is first obtained. Secondly,the result is extended to a general neutral differendial equation,and many known results in the literature are improved.

作者肖功福李先义

机构地区湖南大学衡阳分校基础部南华大学数理部

出处《南华大学学报（理工版）》 2001年第4期8-9,14,共3页 Journal of Nanhua University(Science & Engineering)

基金 ProjectSupportedbyMathematicalTianyuanFoundationofChina (TY10 2 6 0 0 2 - 0 1- 0 5 - 0 3)andScientificResearchFoundationoftheEducationComitteeofHunanProvince (81- 99C14 6 ) .

关键词振动性中立型时滞微分方程特征方程 oscillation neutral delay differential equation characteristic equation

分类号 O175.1 [理学—基础数学]

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参考文献7

1[1]Ⅰ.Gyori,G.Ladas. Oscillation theory of delay differential equations with applications[M]. Oxford Science Publications,1999.
2[2]J.Hale. Theory of functional differential equations[M]. Springer V erlag,New York,1987.
3[3]V.B.Kolmanvskii,V.R.Nosov. Stability of functional differential equa tions[M]. Academic Process,New York,1986.
4[4]B.G.Zhang. Oscillation of first order neutral delay differential equ ations[J]. Math.Anal.Appl.,1989,(139):311～318.
5[5]G.Ladas and Y.G.Sficas. Oscillation of neutral delay differential eq uations[J]. Canad.Math.Bull.,1986,(29):438～445.
6[6]K.Gapolsamy and B.G.Zhang. Oscillation and nonoscillation in first o rder neutral delay differential equations[M]. Math.Anal.Appl.,1990,(151):42～5 7.
7[7]Zhou Yong and Yu Yuanhong. Oscillation of first order neutral delay differential equations[J]. Math.Research.Expoxition,2001,(21):86～88.

同被引文献4

1ZHANG B G. Oscillation of First Order Neutral Delay Differential Equations[J]. J Math Anal Appl, 1989,139:311-318.
2GYORI I, LADAS G. Oscillation Theory of Delay Differential Equations with Applications [M]. Oxford. Carendon Press, 1991.
3GOPALSAMY K,ZHANG B G. Oscillation and Nonoscillation in First Order Neutral Delay Differential Equations [J]. J Math Anal Appl,1990,151:42-57.
4ZHOU YONG,YU YUANHONG. Oscillation of First Order Neutral Delay Differential Equations [J]. Math Research Exposition, 2001, (21) : 86-88.

引证文献1

1张永真,王幼斌.一类一阶中立型微分方程的振动准则[J].山西大学学报（自然科学版）,2006,29(4):341-342.

1贾茗,申建华.差分方程的振动性(英文)[J].内蒙古师范大学学报（自然科学汉文版）,2005,34(3):283-287.
2张颖,郭兴,俞元洪.带强迫项与阻尼项的二阶非线性微分方程振动性准则[J].数学的实践与认识,2009,39(18):233-240.
3韩红梅,崔小萌.一类带有阻尼项的二阶中立型微分方程振动性准则（英文）[J].曲阜师范大学学报（自然科学版）,2017,43(1):19-25.
4任洪善,郑祖庥.中立型方程d／dt[x（t）＋px（t—τ）]＋q1x（t）＋qx2（t—σ）=振动性准则[J].非线性动力学学报,1998,5(3):262-268.
5端木连喜.高阶中立型微分方程的振动性准则[J].曲阜师范大学学报（自然科学版）,2005,31(3):45-49.
6侯成敏,何延生.具有正负系数的中立型微分方程的振动性[J].纯粹数学与应用数学,2001,17(4):377-381.
7郭斌彩.一个积分不等式及其应用[J].河南科学,1999,17(3):227-229.

南华大学学报（理工版）

2001年第4期

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一阶中立型时滞微分方程的一个新的振动性准则(英文) 被引量：1

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