On Asymptotic Behavior of Solutions of nth Order Emden-Fowler Type Difference Equations with Advanced Argument

被引：0

作者：

Koplatadze, R. ^{[1
]}

Khachidze, N. ^{[2
]}

机构：

[1] Iv Javakhishvili Tbilisi State Univ, Dept Math, Tbilisi, Georgia

[2] I Vekua Inst Appl Math, Tbilisi, Georgia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2021年 / 56卷 / 04期

关键词：

difference equation; proper solution; Property A;

D O I：

10.3103/S1068362321040142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study oscillatory properties of solutions of the Emden-Fowler type difference equation Delta((n)) u(k)+ p(k)vertical bar u (sigma(k))vertical bar(lambda) signu (sigma(k)) = 0, where n >= 2, 0 < lambda < 1, p : N -> R+, sigma : N -> N and sigma(k) >= k + 1 for k is an element of. N. Sufficient conditions of new type for oscillation of solutions of the above equation are established. See analogous results for linear ordinary and nonlinear functional differential equations in [1-8].

引用

页码：201 / 213

页数：13

共 38 条

[1] On asymptotic behavior of solutions of n-TH order Emden-Fowler differential equations with advanced argument
R. Koplatadze
Czechoslovak Mathematical Journal, 2010, 60 : 817 - 833
[2] ON ASYMPTOTIC BEHAVIOR OFSOLUTIONS OF n-TH ORDER EMDEN-FOWLER DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENT
Koplatadze, R.
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (03) : 817 - 833
[3] On the oscillation of solutions of higher order Emden-Fowler state dependent advanced differential equations
Litsyn, E
Stavroulakis, IP
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (06) : 3877 - 3883
[4] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF SECOND ORDER DIFFERENCE EQUATIONS WITH DEVIATING ARGUMENT
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MISKOLC MATHEMATICAL NOTES, 2018, 19 (02) : 1047 - 1061
[5] Nonoscillating unbounded solutions of Emden-Fowler systems of arbitrary order
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Differential Equations, 2000, 36 : 97 - 107
[6] Nonoscillating unbounded solutions of Emden-Fowler systems of arbitrary order
Rabtsevich, VA
DIFFERENTIAL EQUATIONS, 2000, 36 (01) : 97 - 107
[7] Asymptotic behavior of solutions of nonlinear difference equations with continuous argument
Pelyukh G.P.
Ukrainian Mathematical Journal, 2002, 54 (1) : 166 - 170
[8] Asymptotic Behavior of Solutions to Difference Equations of Neutral Type
Magdalena Nockowska-Rosiak
Janusz Migda
Qualitative Theory of Dynamical Systems, 2024, 23
[9] Asymptotic Behavior of Solutions to Difference Equations of Neutral Type
Nockowska-Rosiak, Magdalena
Migda, Janusz
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (02)
[10] On the asymptotic behavior of solutions of higher order nonlinear difference equations
Migda, M
Migda, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4687 - 4695

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