NEW OSCILLATION CRITERIA FOR FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-MONOTONE DELAYS

被引：2
|
作者：
Attia, Emad R. [1 ,2 ]
El-Morshedy, Hassan A. [2 ]
机构：
[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia
[2] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 04期
关键词：
Oscillation criteria; delay differential equations; non-monotone delay;
D O I：
10.11948/20210402
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the oscillation of the first order linear delay differential equation x' (t) + q(t)x(tau(t)) = 0, t >= t(0), where q, tau is an element of C([t(0),infinity), [0,infinity)), tau(t) <= t, such that lim (tau(t))(t ->infinity) = infinity. Several new oscillation criteria of iterative and non-iterative types are obtained. Two examples are presented to show the strength and applicability of these criteria over known ones.
引用
收藏
页码：1579 / 1594
页数：16
相关论文
共 50 条
  • [1] Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays
    Attia, Emad R.
    El-Morshedy, Hassan A.
    Stavroulakis, Ioannis P.
    [J]. SYMMETRY-BASEL, 2020, 12 (05):
  • [2] Oscillation of first order linear differential equations with several non-monotone delays
    Attia, E. R.
    Benekas, V.
    El-Morshedy, H. A.
    Stavroulakis, I. P.
    [J]. OPEN MATHEMATICS, 2018, 16 : 83 - 94
  • [3] Improved Oscillation Criteria for First Order Differential Equations with Several Non-monotone Delays
    Attia, Emad R.
    El-Morshedy, Hassan A.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (04)
  • [4] Improved Oscillation Criteria for First Order Differential Equations with Several Non-monotone Delays
    Emad R. Attia
    Hassan A. El-Morshedy
    [J]. Mediterranean Journal of Mathematics, 2021, 18
  • [5] New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays
    Attia, Emad
    El-Matary, Bassant
    [J]. MATHEMATICS, 2023, 11 (01)
  • [6] Oscillation tests for first-order linear differential equations with non-monotone delays
    Attia, Emad R.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [7] Oscillation tests for first-order linear differential equations with non-monotone delays
    Emad R. Attia
    [J]. Advances in Difference Equations, 2021
  • [8] On oscillation of differential and difference equations with non-monotone delays
    Braverman, Elena
    Karpuz, Basak
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3880 - 3887
  • [9] Oscillation of first-order differential equations with several non-monotone retarded arguments
    Bereketoglu, Huseyin
    Karakoc, Fatma
    Oztepe, Gizem S.
    Stavroulakis, Ioannis P.
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (03) : 341 - 350
  • [10] NEW OSCILLATION CONDITIONS FOR FIRST-ORDER LINEAR RETARDED DIFFERENCE EQUATIONS WITH NON-MONOTONE ARGUMENTS
    Attia, Emad R.
    El-Matary, Bassant M.
    Chatzarakis, George E.
    [J]. OPUSCULA MATHEMATICA, 2022, 42 (06) : 769 - 791
12345