ON THE OSCILLATION OF THIRD-ORDER QUASI-LINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：4
|
作者：
Thandapani, E. [1 ]
Li, Tongxing [2 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Madras, Tamil Nadu, India
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
来源：
ARCHIVUM MATHEMATICUM | 2011年 / 47卷 / 03期
关键词：
third-order; neutral functional differential equations; oscillation and asymptotic behavior;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation (E) [a(t) ([x(t) + p(t)x(delta(t))]")(alpha)]' + q(t)x(alpha)(tau(t)) = 0, where alpha > 0, 0 <= p(t) <= p(0) < infinity and delta(t) <= t. By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of (E) is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.
引用
收藏
页码：181 / 199
页数：19
相关论文
共 50 条
  • [41] SOME NEW OSCILLATION CRITERIA FOR HIGHER-ORDER QUASI-LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS
    Qian, Yanyun
    Xu, Run
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (03): : 323 - 335
  • [42] Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
    Saeed Althubiti
    Fahad Alsharari
    Omar Bazighifan
    George E. Chatzarakis
    Advances in Difference Equations, 2021
  • [43] Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
    Althubiti, Saeed
    Alsharari, Fahad
    Bazighifan, Omar
    Chatzarakis, George E.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [44] Oscillation criteria for second-order quasi-linear neutral difference equations
    Luo, JW
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (12) : 1549 - 1557
  • [45] Oscillation and non-oscillation criteria for quasi-linear second order differential equations
    Hebei University of Engineering, Handan, Hebei 056021, China
    不详
    WSEAS Trans. Math., 2008, 11 (627-636):
  • [46] On Infinite Spectra of Oscillation Exponents of Third-Order Linear Differential Equations
    Stash, A. Kh.
    RUSSIAN MATHEMATICS, 2024, 68 (04) : 42 - 59
  • [47] Oscillation of third-order nonlinear differential equations
    Baculikova, B.
    Dzurina, J.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (04) : 466 - 470
  • [48] OSCILLATION CRITERIA FOR THIRD-ORDER DIFFERENTIAL EQUATIONS
    JONES, GD
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (07): : A665 - A665
  • [49] Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation
    Moaaz, Osama
    Mahmoud, Emad E.
    Alharbi, Wedad R.
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [50] Oscillation of third-order nonlinear functional differential equations with mixed arguments
    R. P. Agarwal
    Blanka Baculíková
    Jozef Džurina
    Tong Li
    Acta Mathematica Hungarica, 2012, 134 : 54 - 67
12345