OSCILLATION TESTS FOR DIFFERENCE EQUATIONS WITH SEVERAL NON-MONOTONE DEVIATING ARGUMENTS

被引：7
|
作者：
Chatzarakis, George E. [1 ]
Dmitrovic, Lana Horvat [2 ]
Pasic, Mervan [2 ]
机构：
[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educ, 14121 N Heraklio, Athens, Greece
[2] Univ Zagreb, Fac Elect Engn & Comp, Unska 3, Zagreb 10000, Croatia
来源：
MATHEMATICA SLOVACA | 2018年 / 68卷 / 05期
关键词：
difference equation; non-monotone arguments; oscillatory solutions; nonoscillatory solutions; Gronwall inequality; DELAY; CRITERIA;
D O I：
10.1515/ms-2017-0170
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to derive sufficient conditions for the oscillation of all solutions of a difference equation with several non-monotone deviating arguments and nonnegative coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the significance of the results are also given. (C) 2018 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1083 / 1096
页数：14
相关论文
共 50 条
  • [31] Improved iterative oscillation tests in difference equations with several arguments
    Chatzarakis, George E.
    Pasic, Mervan
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (01) : 64 - 83
  • [32] A survey on the oscillation of differential equations with several deviating arguments
    Stavroulakis, Ioannis P.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [33] A survey on the oscillation of differential equations with several deviating arguments
    Ioannis P Stavroulakis
    Journal of Inequalities and Applications, 2014
  • [34] On the Oscillation of Partial Difference Equations Generated by Deviating Arguments
    Patricia J. Y. Wong
    R. P. Agarwal
    Acta Mathematica Hungarica, 1998, 79 : 1 - 29
  • [35] On the oscillation of partial difference equations generated by deviating arguments
    Wong, PJY
    Agarwal, RP
    ACTA MATHEMATICA HUNGARICA, 1998, 79 (1-2) : 1 - 29
  • [36] Oscillation of first order linear differential equations with several non-monotone delays
    Attia, E. R.
    Benekas, V.
    El-Morshedy, H. A.
    Stavroulakis, I. P.
    OPEN MATHEMATICS, 2018, 16 : 83 - 94
  • [37] A Survey on the Oscillation of Delay Equations with A Monotone or Non-monotone Argument
    Moremedi, G. M.
    Stavroulakis, I. P.
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 441 - 461
  • [38] Improved Oscillation Criteria for First Order Differential Equations with Several Non-monotone Delays
    Attia, Emad R.
    El-Morshedy, Hassan A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (04)
  • [39] Improved Oscillation Criteria for First Order Differential Equations with Several Non-monotone Delays
    Emad R. Attia
    Hassan A. El-Morshedy
    Mediterranean Journal of Mathematics, 2021, 18
  • [40] OSCILLATION CRITERIA FOR NONLINEAR DIFFERENTIAL-EQUATIONS WITH SEVERAL DEVIATING ARGUMENTS
    GRACE, SR
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1992, 41 (1-2): : 99 - 116
12345