Oscillation criteria for second order quasilinear neutral delay differential equations

被引：53
|
作者：
Ye, Luhong [1 ]
Xu, Zhiting [1 ]
机构：
[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 207卷 / 02期
关键词：
Oscillation; Second order; Neutral delay differential equation; Quasilinear; FUNCTIONAL ARGUMENTS; THEOREMS;
D O I：
10.1016/j.amc.2008.10.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Oscillation criteria for second order quasilinear delay differential equation (r(t)psi(x(t))vertical bar Z'(t)vertical bar(alpha-1)Z'(t))' + q(t)f(x(sigma(t))) = 0, t >= t(0), where Z(t) = x(t) + p(t)x(tau(t)) and alpha > 0, are established under the conditions: integral(infinity)(t0) r(-1/alpha)(s)ds = infinity or integral(infinity)(t0) r(-1/alpha)(s)ds < infinity, respectively. The results obtained here improve and extend some known results in literature. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：388 / 396
页数：9
相关论文
共 50 条
  • [31] Oscillation Criteria of Second Order Delay Differential Equations with Nonpositive Sublinear Neutral Term
    Sudha, B.
    Tamilvanan, S.
    Rama, R.
    Thandapani, E.
    11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019, 2112
  • [32] Oscillation of forced second-order neutral delay differential equations
    Jiang, Ying
    Fu, Youliang
    Wang, Haixia
    Li, Tongxing
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [33] Oscillation of Second Order Delay Differential Equations with Nonlinear Neutral Term
    XU Zhi-ting
    Department of Applied Mathematics
    数学季刊, 2006, (02) : 271 - 277
  • [34] An oscillation criteria for third order neutral delay differential equations
    Han, Zhenlai
    Li, Tongxing
    Sun, Shurong
    Zhang, Chenghui
    JOURNAL OF APPLIED ANALYSIS, 2010, 16 (02) : 295 - 303
  • [35] Oscillation criteria for quasilinear elliptic equations of second order
    Xu, Zhiting
    UTILITAS MATHEMATICA, 2006, 70 : 129 - 139
  • [36] Oscillation of forced second-order neutral delay differential equations
    Ying Jiang
    Youliang Fu
    Haixia Wang
    Tongxing Li
    Advances in Difference Equations, 2015
  • [37] Interval Oscillation Criteria for Second-Order Delay Differential Equations
    Feng, Qinghua
    WORLD CONGRESS ON ENGINEERING 2009, VOLS I AND II, 2009, : 1084 - 1088
  • [38] Oscillation criteria for second-order quasilinear functional differential equations
    Luo, JW
    Debnath, L
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (5-6) : 731 - 739
  • [39] Interval oscillation criteria for second order nonlinear delay differential equations
    Yang, QG
    Mathsen, RM
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (04) : 1539 - 1563
  • [40] On oscillation of second order neutral type delay differential equations
    Sahiner, Y
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) : 697 - 706
12345