Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation

被引：12

作者：

Moaaz, Osama ^{[1
]}

Muhib, Ali ^{[1
,2
]}

Owyed, Saud ^{[3
]}

Mahmoud, Emad E. ^{[4
,5
]}

Abdelnaser, Aml ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[2] Ibb Univ, Fac Educ Al Nadirah, Dept Math, Ibb, Yemen

[3] Univ Bisha, Coll Sci, Dept Math, POB 344, Bisha 61922, Saudi Arabia

[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia

[5] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

D O I：

10.1155/2021/6665103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation (r (l) (u' (l))gamma)' + q (l)x(beta) (sigma (l)) = 0, where l >= l(0) and u (l) = x (l) + px (rho(l)). By optimizing the commonly used relationship x > (1 - p)u, we obtain new criteria that give sharper results for oscillation than the previous related results. Moreover, we obtain criteria of an iterative nature. Our new results are illustrated by an example.

引用

页数：7

共 50 条

[31] Oscillation criteria for second-order retarded differential equations
Agarwal, RP
Shieh, SL
Yeh, CC
MATHEMATICAL AND COMPUTER MODELLING, 1997, 26 (04) : 1 - 11
[32] Oscillation criteria for second-order delay differential equations
Dzurina, J
Stavroulakis, IP
APPLIED MATHEMATICS AND COMPUTATION, 2003, 140 (2-3) : 445 - 453
[33] Oscillation criteria for second-order matrix differential equations
Yang, XJ
APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (02) : 299 - 306
[34] NEW OSCILLATION CRITERIA FOR GENERALIZED SECOND-ORDER NONLINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Graef, John R.
Saker, S. H.
DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (3-4): : 455 - 472
[35] New oscillation criteria for second-order neutral differential equations with distributed deviating arguments
Moaaz, Osama
Park, Choonkil
Elabbasy, Elmetwally M.
Muhsin, Waed
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[36] Oscillation criteria for second-order neutral delay difference equations
Li, Horng-Jaan
Yeh, Cheh-Chih
Computers and Mathematics with Applications, 1998, 36 (10-12): : 123 - 132
[37] Oscillation criteria for second-order neutral delay difference equations
Li, HJ
Yeh, CC
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (10-12) : 123 - 132
[38] New oscillation criteria for second-order neutral differential equations with distributed deviating arguments
Osama Moaaz
Choonkil Park
Elmetwally M. Elabbasy
Waed Muhsin
Boundary Value Problems, 2021
[39] Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations
Li, Tongxing
Rogovchenko, Yuriy V.
MONATSHEFTE FUR MATHEMATIK, 2017, 184 (03): : 489 - 500
[40] Oscillation criteria of second-order quasi-linear neutral delay differential equations
Wang, Xiaoli
Meng, Fanwei
MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (3-4) : 415 - 421

← 1 2 3 4 5 →