Sharp oscillation criteria for second-order neutral delay differential equations

被引：43

作者：

Bohner, Martin ^{[1
]}

Grace, Said R. ^{[2
]}

Jadlovska, Irena ^{[3
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO USA

[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza, Egypt

[3] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, B Nemcovej 32, Kosice 04200, Slovakia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 17期

关键词：

delay; half-linear neutral differential equation; oscillation; second order;

D O I：

10.1002/mma.6677

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable.

引用

页码：10041 / 10053

页数：13

共 50 条

[41] New Oscillation Criteria for Second Order Quasilinear Neutral Delay Differential Equations
N. Prabaharan
C. Dharuman
E. Thandapani
S. Pinelas
Differential Equations and Dynamical Systems, 2023, 31 : 945 - 956
[42] Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term
Dzurina, Jozef
Grace, Said R.
Jadlovska, Irena
Li, Tongxing
MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) : 910 - 922
[43] OSCILLATION CRITERIA FOR SECOND-ORDER HALF-LINEAR DELAY DIFFERENTIAL EQUATIONS WITH MIXED NEUTRAL TERMS
Grace, Said R.
Graef, John R.
Jadlovska, Irena
MATHEMATICA SLOVACA, 2019, 69 (05) : 1117 - 1126
[44] Oscillation of solutions of second-order neutral delay differential equations with integrable coefficients
Li, HJ
MATHEMATICAL AND COMPUTER MODELLING, 1997, 25 (03) : 69 - 79
[45] New Sufficient Conditions for Oscillation of Second-Order Neutral Delay Differential Equations
Hassan, Taher S.
Moaaz, Osama
Nabih, Amany
Mesmouli, Mouataz Billah
El-Sayed, Ahmed M. A.
AXIOMS, 2021, 10 (04)
[46] Amended oscillation criteria for second-order neutral differential equations with damping term
Osama Moaaz
George E. Chatzarakis
Thabet Abdeljawad
Clemente Cesarano
Amany Nabih
Advances in Difference Equations, 2020
[47] OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE
Thandapani, Ethiraju
Rama, Renu
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (75) : 1 - 16
[48] Amended oscillation criteria for second-order neutral differential equations with damping term
Moaaz, Osama
Chatzarakis, George E.
Abdeljawad, Thabet
Cesarano, Clemente
Nabih, Amany
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[49] OSCILLATION OF SECOND ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS
Dzurina, J.
Hudakova, D.
MATHEMATICA BOHEMICA, 2009, 134 (01): : 31 - 38
[50] Oscillation criteria for second order neutral differential equations
Li, HJ
Liu, WL
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1996, 48 (04): : 871 - 886

← 1 2 3 4 5 →