New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation

被引：14
作者：
Santra, Shyam Sundar [1 ]
Sethi, Abhay Kumar [2 ]
Moaaz, Osama [3 ]
Khedher, Khaled Mohamed [4 ,5 ]
Yao, Shao-Wen [6 ]
机构：
[1] JIS Coll Engn, Dept Math, Kalyani 741235, W Bengal, India
[2] Sambalpur Univ, Dept Math, Sambalpur 768019, India
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
[4] King Khalid Univ, Dept Civil Engn, Coll Engn, Abha 61421, Saudi Arabia
[5] High Inst Technol Studies, Dept Civil Engn, Mrezgua Univ Campus, Nabeul 8000, Tunisia
[6] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
来源：
MATHEMATICS | 2021年 / 9卷 / 10期
基金：
中国国家自然科学基金;
关键词：
differential equations; second-order; neutral; delay; oscillation criteria; DYNAMIC EQUATIONS; CRITERIA; BEHAVIOR; SYSTEMS;
D O I：
10.3390/math9101111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form (a(xi)((v(xi)+b(xi)v(theta(xi)))'))'+c(xi)G(1)(v(kappa(xi)))+d(xi)G(2)(v(zeta(xi)))=0 under canonical and non-canonical operators, that is, integral(infinity)(xi 0)d xi/a(xi) = infinity and integral(infinity)(xi 0)d xi/a(xi) < infinity. We use the Riccati transformation to prove our main results. Furthermore, some examples are provided to show the effectiveness and feasibility of the main results.
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页数：11
相关论文
共 34 条
  • [1] Some remarks on oscillation of second order neutral differential equations
    Agarwal, Ravi P.
    Zhang, Chenghui
    Li, Tongxing
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 178 - 181
  • [2] A new approach in the study of oscillatory behavior of even-order neutral delay differential equations
    Agarwal, Ravi P.
    Bohner, Martin
    Li, Tongxing
    Zhang, Chenghui
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 787 - 794
  • [3] Bainov D.D, 1995, Series on Advances in Mathematics for Applied Sciences, V28
  • [4] OSCILLATORY PROPERTIES OF EVEN-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
    Bazighifan, Omar
    Scapellato, Andrea
    [J]. MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 641 - 652
  • [5] Qualitative Properties of Solutions of Second-Order Neutral Differential Equations
    Bazighifan, Omar
    Ruggieri, Marianna
    Santra, Shyam Sundar
    Scapellato, Andrea
    [J]. SYMMETRY-BASEL, 2020, 12 (09):
  • [6] An Improved Criterion for the Oscillation of Fourth-Order Differential Equations
    Bazighifan, Omar
    Ruggieri, Marianna
    Scapellato, Andrea
    [J]. MATHEMATICS, 2020, 8 (04)
  • [7] Berezansky L., 2020, Oscillation, nonoscillation, stability and asymptotic properties for second and higher order functional differential equations
  • [8] BEREZANSKY L, 1996, COMM APPL NONLINEAR, V3, P61
  • [9] Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments
    Bohner, Martin
    Hassan, Taher S.
    Li, Tongxing
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2018, 29 (02): : 548 - 560
  • [10] Oscillation of second-order p-Laplace dynamic equations with a nonpositive neutral coefficient
    Bohner, Martin
    Li, Tongxing
    [J]. APPLIED MATHEMATICS LETTERS, 2014, 37 : 72 - 76
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