Oscillation theorems for third order neutral differential equations

被引：0
|
作者：
Baculikova, Blanka [1 ]
Dzurina, J. [1 ]
机构：
[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, Kosice 04200, Slovakia
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2012年 / 28卷 / 02期
关键词：
Third-order neutral differential equations; comparison theorem; oscillation; nonoscillation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the asymptotic properties and the oscillation of the third order neutral differential equations (E) (r(t) [x(t) + p(t)x(tau(t))]'')' + q(t)x(sigma(t)) = 0. Obtained results are based on the new comparison theorems, that permit to reduce the problem of the oscillation of the third order equation to the oscillation of the couple of the first order equation. Obtained comparison principles essentially simplify the examination of the studied equations.
引用
下载
收藏
页码：199 / 206
页数：8
相关论文
共 50 条
  • [1] Oscillation theorems for second order neutral differential equations
    Baculikova, B.
    Dzurina, J.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (01) : 94 - 99
  • [2] Oscillation Theorems for Neutral Differential Equations of Higher Order
    Jozef Džurina
    Czechoslovak Mathematical Journal, 2004, 54 : 107 - 117
  • [3] Oscillation theorems for neutral differential equations of higher order
    Dzurina, J
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (01) : 107 - 117
  • [4] OSCILLATION THEOREMS FOR SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS
    Baculikova, B.
    Li, T.
    Dzurina, J.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (74) : 1 - 13
  • [5] Oscillation theorems for higher order neutral differential equations
    Baculikova, B.
    Dzurina, J.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3769 - 3778
  • [6] Oscillation of third-order neutral differential equations
    Baculikova, B.
    Dzurina, J.
    MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) : 215 - 226
  • [7] BOUNDEDNESS AND OSCILLATION OF THIRD ORDER NEUTRAL DIFFERENTIAL EQUATIONS
    Mihalikova, Bozena
    Kostikova, Eva
    DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2008, 2009, 43 : 137 - 144
  • [8] OSCILLATION THEOREMS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS OF ODD ORDER
    Das, P.
    Mishra, B. B.
    Dash, C. R.
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2006, 1 (04): : 557 - 568
  • [9] OSCILLATION THEOREMS FOR SECOND ORDER ADVANCED NEUTRAL DIFFERENTIAL EQUATIONS
    Dzurina, Jozef
    DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2010, 2011, 48 : 61 - 71
  • [10] OSCILLATION THEOREMS FOR CERTAIN EVEN ORDER NEUTRAL DIFFERENTIAL EQUATIONS
    Yang, Qigui
    Cheng, Sui Sun
    ARCHIVUM MATHEMATICUM, 2007, 43 (02): : 105 - 122
12345