Oscillatory and asymptotic properties of solutions of even order neutral difference equations

被引：15

作者：

Migda, Malgorzata ^{[1
]}

Migda, Janusz ^{[2
]}

机构：

[1] Poznan Tech Univ, Inst Math, PL-60965 Poznan, Poland

[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 11-12期

关键词：

neutral difference equation; oscillation; bounded solution; difference inequality; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1080/10236190903032708

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the neutral difference equation of the form Delta(m)(x(n) - px(n-tau)) = q(n)x(n-sigma) + h(n)x(n+eta). Explicit sufficient conditions which guarantee that all solutions of the above equation are oscillatory are obtained.

引用

页码：1077 / 1084

页数：8

共 50 条

[1] Oscillatory and asymptotic properties of higher order nonlinear neutral difference equations
Zhou, Xiaoliang
Zhang, Weinian
APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 679 - 689
[2] On the asymptotic and oscillatory behaviour of solutions of second order nonlinear neutral difference equations
Thandapani, E
Sundaram, P
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (12): : 1149 - 1160
[3] ASYMPTOTIC TRICHOTOMY OF SOLUTIONS OF A CLASS OF EVEN ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH QUASIDIFFERENCES
Schmeidel, Ewa
DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, 2007, : 600 - 609
[4] Asymptotic properties of solutions of second-order neutral difference equations
Migda, Malgorzata
Migda, Janusz
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E789 - E799
[5] ASYMPTOTIC PROPERTIES OF NONOSCILLATORY SOLUTIONS OF HIGHER ORDER NEUTRAL DIFFERENCE EQUATIONS
Migda, Malgorzata
OPUSCULA MATHEMATICA, 2006, 26 (03) : 507 - 514
[6] Oscillatory and asymptotic properties of higher order nonlinear neutral difference equations with oscillating coefficients
Zhou, Xiaoliang
APPLIED MATHEMATICS LETTERS, 2008, 21 (11) : 1142 - 1148
[7] Asymptotic and Oscillatory Properties for Even-Order Nonlinear Neutral Differential Equations with Damping Term
Batiha, Belal
Alshammari, Nawa
Aldosari, Faten
Masood, Fahd
Bazighifan, Omar
SYMMETRY-BASEL, 2025, 17 (01):
[8] OSCILLATORY PROPERTIES OF SOLUTIONS OF EVEN ORDER DIFFERENTIAL EQUATIONS
ONOSE, H
PACIFIC JOURNAL OF MATHEMATICS, 1971, 38 (03) : 747 - &
[9] OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THIRD-ORDER QUASI-LINEAR NEUTRAL DIFFERENCE EQUATIONS
Gopal, T.
Ayyappan, G.
Graef, John R.
Thandapani, E.
MATHEMATICA SLOVACA, 2022, 72 (02) : 411 - 418
[10] On the oscillatory and asymptotic properties of solutions of systems of neutral differential equations
Mihaly, Tomas
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (09) : 2053 - 2063

← 1 2 3 4 5 →