Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments

被引：1

作者：

Wang, Yakun ^{[1
]}

Meng, Fanwei ^{[1
]}

Gu, Juan ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China

[2] Army Acad Armored Forces, Beijing, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Third-order; Neutral differential equations; Oscillation; Riccati transformation; EVEN; BEHAVIOR;

D O I：

10.1186/s13662-021-03661-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation criteria are established, which are based on a refinement generalized Riccati transformation. An important tool for this investigation is the integral averaging technique. Moreover, we provide an example to illustrate the main results.

引用

页数：15

共 50 条

[31] Oscillation criteria for second-order neutral equations with distributed deviating arguments
Wang, PG
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (12) : 1935 - 1946
[32] COMPARISON THEOREMS ON THE OSCILLATION OF THIRD-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MIXED DEVIATING ARGUMENTS IN NEUTRAL TERM
Ozdemir, Orhan
Kaya, Sehri
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (01): : 17 - 30
[33] Oscillation criteria for third-order neutral differential equations with continuously distributed delay
Zhang, Quanxin
Gao, Li
Yu, Yuanhong
APPLIED MATHEMATICS LETTERS, 2012, 25 (10) : 1514 - 1519
[34] Oscillation of first-order neutral differential equations with distributed deviating arguments
Candan, T.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (03) : 510 - 515
[35] Oscillation of fourth-order neutral differential equations with distributed deviating arguments
El-Gaber, A. A.
El-sheikh, M. M. A.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 28 (01): : 60 - 71
[36] Oscillation of solutions for first order neutral differential equations with distributed deviating arguments
Dong, Jiu-Gang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (04) : 784 - 790
[37] Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments
Moaaz, Osama
El-Nabulsi, Rami Ahmad
Muhsin, Waad
Bazighifan, Omar
MATHEMATICS, 2020, 8 (05)
[38] Existence results for third-order impulsive neutral differential equations with deviating arguments
Guobing Ye
Yulin Zhao
Li Huang
Advances in Difference Equations, 2014
[39] OSCILLATION CRITERIA FOR CERTAIN EVEN ORDER DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS
Yang, Gefeng
Xu, Zhiting
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (02): : 157 - 169
[40] Existence results for third-order impulsive neutral differential equations with deviating arguments
Ye, Guobing
Zhao, Yulin
Huang, Li
ADVANCES IN DIFFERENCE EQUATIONS, 2014,

← 1 2 3 4 5 →