偶次中立型泛函微分方程解的振荡性

T·卡丹

偶次中立型泛函微分方程解的振荡性

T·卡丹

尼代大学艺术和科学学院数学系,尼代 51200,土耳其

详细信息

作者简介:
T·卡丹(E-mail:tcandan@nigde.edu.tr).

中图分类号: O175.12
计量
- 文章访问数: 2089
- HTML全文浏览量: 116
- PDF下载量: 599
- 被引次数: 0
出版历程
- 收稿日期: 2005-10-21
- 修回日期: 2006-02-20
- 刊出日期: 2006-10-15

Oscillation Behavior of Solutions for Even Order Neutral Functional Differential Equations

T. Cadan

Department of Mathematics, Faculty of Art and Science, Ni de University, Ni de, 51200, Turkey

摘要

摘要: 研究偶次中立型泛函微分方程，给出了该微分方程解的振荡性的充分条件．得到了一些新的结果并给出了一些示例．
- 中立型微分方程 /
- 振荡 /
- 分布偏差变量
Abstract: Even order neutral functional differential equations are considered. Sufficient conditions for the oscillation behavior of solutions for this differential equation are presented. The new results are presented and the some examples also given.
- neutral differential equations /
- oscillations /
- distributed deviating arguments

HTML全文

参考文献(13)

[1]	Hale J.Theory of Functional Differential Equations[M].New York: Springer-Verlag,1977.
[2]	Grace S R,Lalli B S.Oscillation theorems for second order neutral functional differential equations[J].Appl Math Comput,1992,52(2/3):119—133.
[3]	Grace S R, Lalli B S.On the oscillation of certain neutral functional differential equations[J].Funcialaj Ekvacioj,1993,36(2):303—310.
[4]	Grace S R. Oscillation criteria for nth-order neutral functional differential equations[J].J Math Anal Appl,1994,184(1):44—55. doi: 10.1006/jmaa.1994.1182
[5]	Grace S R. On the oscillations of mixed neutral equations[J].J Math Anal Appl,1995,194(2):377—388. doi: 10.1006/jmaa.1995.1306
[6]	Candan T,Dahiya R S.Oscillation behavior of n-th order neutral differential equations with continuous delay[J].J Math Anal Appl,2004,290(1):105—112. doi: 10.1016/j.jmaa.2003.09.072
[7]	Dahiya R S,Candan T.Oscillation behavior of arbitrary order neutral differential equations[J].Appl Math Lett,2004,17(8):953—958. doi: 10.1016/j.am1.2003.09.008
[8]	Ladde G S, Lakshmikantham V,Zhang B G.Oscillation Theory of Differential Equations With Deviating Arguments[M].New York: Marcel Dekker, Inc, 1987.
[9]	Kusano T. On even order functional differential equations with advanced and retarded arguments[J].J Differential Equations,1982,45:75—84. doi: 10.1016/0022-0396(82)90055-9
[10]	Foster K E, Grimmer R C.Nonoscillatory solutions of higher-order delay equations[J].J Math Anal Appl,1980,77:150—164. doi: 10.1016/0022-247X(80)90266-8
[11]	Grace S R, Lalli B S. Oscillation theorems for n-th order nonlinear differential equations with deviating arguments[J].Proc Amer Math Soc,1984,90:65—70.
[12]	Agarwal R P, Grace S R.Oscillation theorems for certain neutral functional differential equations[J].Comput Math Appl,1999,38(11/12):1—11.
[13]	Kiguradze I T.On the oscillation of solutions of the equation dmu/dtm+a(t)｜u｜m sign u=0[J].Mat Sb,1964,65(107):172—187.