Oscillation of second-order neutral differential equations

被引:116
|
作者
Li, Tongxing [1 ,2 ]
Rogovchenko, Yuriy V. [3 ]
机构
[1] Linyi Univ, LinDa Inst, Shandong Prov Key Lab Network Based Intelligent C, Linyi 276005, Shandong, Peoples R China
[2] Linyi Univ, Sch Informat, Linyi 276005, Shandong, Peoples R China
[3] Univ Agder, Dept Math Sci, N-4604 Kristiansand, Norway
关键词
Oscillation; neutral differential equations; delayed argument; advanced argument; NONOSCILLATORY SOLUTIONS; CRITERIA; BEHAVIOR;
D O I
10.1002/mana.201300029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study oscillatory behavior of a class of second-order neutral differential equations under the assumptions that allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Illustrative examples are provided. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:1150 / 1162
页数:13
相关论文
共 50 条
  • [1] Oscillation of Second-Order Neutral Differential Equations
    Li, Tongxing
    Rogovchenko, Yuri V.
    Zhang, Chenghui
    [J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2013, 56 (01): : 111 - 120
  • [2] On the Oscillation of Second-Order Neutral Delay Differential Equations
    Han, Zhenlai
    Li, Tongxing
    Sun, Shurong
    Chen, Weisong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [3] On the Oscillation of Second-Order Neutral Delay Differential Equations
    Zhenlai Han
    Tongxing Li
    Shurong Sun
    Weisong Chen
    [J]. Advances in Difference Equations, 2010
  • [4] Oscillation of second-order nonlinear neutral differential equations
    Lin, XY
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 442 - 452
  • [6] OSCILLATION OF SOLUTIONS TO SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
    Li, Tongxing
    Thandapani, Ethiraju
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [7] On oscillation of second-order noncanonical neutral differential equations
    Ali Muhib
    [J]. Journal of Inequalities and Applications, 2021
  • [8] On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations
    Sun, Shurong
    Li, Tongxing
    Han, Zhenlai
    Zhang, Chao
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 541 - 554
  • [9] Oscillation theorems for second-order superlinear neutral differential equations
    Baculikova, Blanka
    Li, Tongxing
    Dzurina, Jozef
    [J]. MATHEMATICA SLOVACA, 2013, 63 (01) : 123 - 134
  • [10] Oscillation theorems of solution of second-order neutral differential equations
    Muhib, Ali
    Alotaibi, Hammad
    Bazighifan, Omar
    Nonlaopon, Kamsing
    [J]. AIMS MATHEMATICS, 2021, 6 (11): : 12771 - 12779