Linearized oscillation theorems for neutral difference equations

被引：1

作者：

Zhou, Z ^{[1
]}

Yu, JS ^{[1
]}

机构：

[1] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 114卷 / 1期

关键词：

Difference Equation; Real Root; Delay Differential Equation; Linearize Oscillation; Oscillation Theory;

D O I：

10.1007/BF02785574

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the nonlinear neutral difference equation Delta[x(n) - p(n)g(x(n-k))] + q(n)h(x(n-l)) = 0, n is an element of N. We establish a linearized oscillation theorem which is a discrete result of the open problem by Gyori and Ladas.

引用

页码：149 / 156

页数：8

共 50 条

[41] OSCILLATION THEOREMS FOR SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Baculikova, B.
Li, T.
Dzurina, J.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (74) : 1 - 13
[42] Oscillation theorems for certain neutral functional differential equations
Agarwal, RP
Grace, SR
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (11-12) : 1 - 11
[43] Oscillation theorems for higher order neutral differential equations
Baculikova, B.
Dzurina, J.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3769 - 3778
[44] Oscillation of neutral difference equations with continuous arguments
Xiong, W.M.
Wang, Z.C.
Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 2001, 28 (01):
[45] Oscillation of neutral difference equations with periodic coefficients
Kordonis, I.-G.E.
Philos, Ch.G.
Computers and Mathematics with Applications, 1997, 33 (07): : 11 - 27
[46] Oscillation of neutral difference equations with periodic coefficients
Kordonis, IGE
Philos, CG
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (07) : 11 - 27
[47] Oscillation analysis of neutral difference equations with delays
Oecalan, Oezkan
Duman, Oktay
CHAOS SOLITONS & FRACTALS, 2009, 39 (01) : 261 - 270
[48] Oscillation of solutions of neutral difference equations with a nonlinear neutral term
Lin, Xiaoyan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (3-4) : 439 - 448
[49] Oscillation of solutions of neutral difference equations with a superlinear neutral term
Lin, XY
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 827 - 834
[50] Oscillation theorems for certain delay partial difference equations
Zhang, BG
Wang, YH
APPLIED MATHEMATICS LETTERS, 2006, 19 (07) : 639 - 646

← 1 2 3 4 5 →