On the Oscillation of Solutions of Differential Equations with Neutral Term

被引：3

作者：

Mofarreh, Fatemah ^{[1
]}

Almutairi, Alanoud ^{[2
]}

Bazighifan, Omar ^{[3
,4
]}

Aiyashi, Mohammed A. ^{[5
]}

Vilcu, Alina-Daniela ^{[6
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

[2] Univ Hafr Al Batin, Fac Sci, Dept Math, POB 1803, Hafar Al Batin 31991, Saudi Arabia

[3] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[4] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen

[5] Jazan Univ, Fac Sci, Dept Math, Jazan 218, Saudi Arabia

[6] Petr Gas Univ Ploiesti, Dept Comp Sci Informat Technol Math & Phys, Ploiesti 100680, Romania

来源：

MATHEMATICS | 2021年 / 9卷 / 21期

关键词：

oscillation; even order; neutral coefficients; differential equation; CRITERIA; BEHAVIOR;

D O I：

10.3390/math9212709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature. To prove the validity of our results, we give some examples.

引用

页数：10

共 50 条

[41] OSCILLATION OF SECOND-ORDER DAMPED NONCANONICAL DIFFERENTIAL EQUATIONS WITH SUPERLINEAR NEUTRAL TERM
Bohner, Martin
Srinivasan, Radkhakrishnan
Thandapani, Ethiraju
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2021, 12 (03): : 44 - 53
[42] On Oscillation of Second Order Delay Differential Equations with a Sublinear Neutral Term
Said R. Grace
Irena Jadlovská
Agacik Zafer
Mediterranean Journal of Mathematics, 2020, 17
[43] Oscillation of fourth-order neutral differential equations with damping term
Bartusek, Miroslav
Dosla, Zuzana
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (18) : 14341 - 14355
[44] Oscillation of Second Order Delay Differential Equations with Nonlinear Neutral Term
XU Zhi-ting
Department of Applied Mathematics
数学季刊, 2006, (02) : 271 - 277
[45] Differential equations of the neutral delay type: More efficient conditions for oscillation
Moaaz, Osama
Albalawi, Wedad
AIMS MATHEMATICS, 2023, 8 (06): : 12729 - 12750
[46] On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations
Sun, Shurong
Li, Tongxing
Han, Zhenlai
Zhang, Chao
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 541 - 554
[47] OSCILLATION FOR NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
申建华
王志成
ANNALS OF DIFFERENTIAL EQUATIONS, 1995, (02) : 225 - 235
[48] On oscillation of neutral delay differential equations
Das, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (04) : 533 - 539
[49] Oscillation results for second-order nonlinear neutral differential equations
Li, Tongxing
Rogovchenko, Yuriy V.
Zhang, Chenghui
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[50] Oscillation of one kind of second order neutral delay differential equations
Li, Hui
Zhao, Yige
Sun, Shurong
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2020, 10 (03) : 221 - 232

← 1 2 3 4 5 →