Remark on properties of Kneser solutions for third-order neutral differential equations

被引:8
作者
Baculikova, B. [1 ]
Dzurina, J. [1 ]
机构
[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, Letna 9, Kosice 04200, Slovakia
关键词
Third-order neutral differential; equation; Kneser solution; Oscillation; OSCILLATION; THEOREMS;
D O I
10.1016/j.aml.2016.07.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper we study properties of positive solutions for the third-order neutral differential equations of the form (r(t)z ''(t))' + q(t)y(t) = 0, where z(t) = y(t) + p(t)y(tau(t)). The lower and upper estimates of positive decreasing solutions of studied equations are provided that yield the rate of convergence to zero for such solutions. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1 / 5
页数:5
相关论文
共 11 条
[1]   Oscillation theorems for certain neutral functional differential equations [J].
Agarwal, RP ;
Grace, SR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (11-12) :1-11
[2]  
[Anonymous], MATH SLOVACA
[3]   Oscillation of third-order nonlinear differential equations [J].
Baculikova, B. ;
Dzurina, J. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (04) :466-470
[4]  
Baculíková B, 2010, ELECTRON J QUAL THEO, P1
[5]   Oscillation of third-order neutral differential equations [J].
Baculikova, B. ;
Dzurina, J. .
MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) :215-226
[6]  
Bainov D.D., 1991, Oscillation theory for neutral differential equations with delay
[7]  
Dzurina J., 2007, ACTA ELECTROTECHNICA, V7, P26
[8]  
Erbe L.H., 1995, Oscillation Theory for Functional Differential Equations
[9]   COMPARISON THEOREMS ON THE OSCILLATION AND ASYMPTOTIC BEHAVIOUR OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATIONS [J].
Karpuz, Basak ;
Ocalan, Ozkan ;
Ozturk, Sermin .
GLASGOW MATHEMATICAL JOURNAL, 2010, 52 :107-114
[10]  
Kiguradze I.T., 1993, ASYMPTOTIC PROPERTIE