Asymptotic Properties of Third-Order Delay Trinomial Differential Equations

被引:3
作者
Dzurina, J. [1 ]
Komarikova, R. [1 ]
机构
[1] Tech Univ Kosice, Dept Math, Fac Elect Engn & Informat, Kosice 04200, Slovakia
关键词
COMPARISON-THEOREMS; BEHAVIOR;
D O I
10.1155/2011/730128
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 properties of the third-order delay trinomial differential equation ((1/r(t))y ''(t))' + p(t)y'(t) + q(t)y(sigma t)) = 0, by transforming this equation onto the second-/third-order binomial differential equation. Using suitable comparison theorems, we establish new results on asymptotic behavior of solutions of the studied equations. Obtained criteria improve and generalize earlier ones.
引用
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页数:10
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共 22 条
[1]  
[Anonymous], MATH SLOVACA
[2]   Oscillation criteria for third-order nonlinear differential equations [J].
Baculikova, B. ;
Elabbasy, E. M. ;
Saker, S. H. ;
Dzurina, J. .
MATHEMATICA SLOVACA, 2008, 58 (02) :201-220
[3]  
BACULIKOVA B, 2006, MATH SERIES, V20, P11
[4]  
BACULIKOVA B, ABSTR APPPL IN PRESS
[5]  
Baculíková B, 2006, ARCH MATH-BRNO, V42, P141
[6]   Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument [J].
Bartusek, Miroslav ;
Cecchi, Mariella ;
Dosla, Zuzana ;
Marini, Mauro .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[7]  
Bellman R., 1953, STABILITY THEORY DIF
[8]  
CHANTURIJA TA, 1990, ASYMPTOTIC PROPERTIE
[9]   Asymptotic properties of the third order delay differential equations [J].
Dzurina, J .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (01) :33-39
[10]   Properties of the third order trinomial differential equations with delay argument [J].
Dzurina, Jozef ;
Kotorova, Renata .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) :1995-2002