Asymptotic behavior of third-order functional differential equations with a negative middle term

被引：0
作者：
Jozef Džurina
Irena Jadlovská
机构：
[1] Technical University of Košice,Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics
来源：
Advances in Difference Equations | / 2017卷
关键词：
third-order differential equation; delay; advance; oscillation; comparison; integral criteria; 34K11;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with asymptotic and oscillatory properties of the nonlinear third-order differential equation with a negative middle term. Both delay and advanced cases of argument deviation are considered. Sufficient conditions for all solutions of a given differential equation to have property B or to be oscillatory are established. A couple of illustrative examples is also included.
引用
收藏
相关论文
共 50 条
[41]   OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS [J].
Sun, Yibing ;
Zhao, Yige .
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06) :1796-1810
[42]   Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions [J].
Al Themairi, A. ;
Qaraad, Belgees ;
Bazighifan, Omar ;
Nonlaopon, Kamsing .
SYMMETRY-BASEL, 2022, 14 (10)
[43]   Oscillation of third-order differential equations with noncanonical operators [J].
Dzurina, Jozef ;
Jadlovska, Irena .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 336 :394-402
[44]   A note on the oscillation of third-order delay differential equations [J].
Jadlovska, Irena ;
Li, Tongxing .
APPLIED MATHEMATICS LETTERS, 2025, 167
[45]   Oscillation criteria for third-order delay differential equations [J].
George E Chatzarakis ;
Said R Grace ;
Irena Jadlovská .
Advances in Difference Equations, 2017
[46]   Asymptotic behaviour of semi-canonical third-Order functional difference equations [J].
Srinivasan, R. ;
Graef, John R. ;
Thandapani, E. .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2022, 28 (04) :547-560
[47]   Oscillation criteria for third-order delay differential equations [J].
Chatzarakis, George E. ;
Grace, Said R. ;
Jadlovska, Irena .
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[48]   Properties of Kneser solutions for third-order differential equations [J].
Dzurina, J. ;
Baculikova, B. .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 307 :165-169
[49]   On oscillation of third-order noncanonical delay differential equations [J].
Grace, Said R. ;
Jadlovska, Irena ;
Zafer, Agacik .
APPLIED MATHEMATICS AND COMPUTATION, 2019, 362
[50]   On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations [J].
Jadlovska, Irena ;
Chatzarakis, George E. ;
Dzurina, Jozef ;
Grace, Said R. .
MATHEMATICS, 2021, 9 (14)
12345