Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions

被引：10

作者：

Al Themairi, A. ^{[1
]}

Qaraad, Belgees ^{[2
]}

Bazighifan, Omar ^{[3
,4
]}

Nonlaopon, Kamsing ^{[5
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] Amran Univ, Fac Sci, Dept Math, Amran 35516, Yemen

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

[4] Seiyun Univ, Fac Educ, Dept Math, Hadhramout 50512, Yemen

[5] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 10期

关键词：

third order; delay; oscillation; distributed delay; damping term; OSCILLATION CRITERIA; THEOREMS;

D O I：

10.3390/sym14102192

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we are interested in studying the oscillation of differential equations with a damping term and distributed delay. We establish new criteria that guarantee the oscillation of the third-order differential equation in terms of oscillation of the second-order linear differential equation without a damping term. By using the Riccati transformation technique and the principle of comparison, we obtain new results on the oscillation for the studied equation. The results show significant improvement and extend the previous works. Symmetry contributes to determining the correct methods for solving neutral differential equations. Some examples are provided to show the significance of our results.

引用

页数：13

共 42 条

[1] On the qualitative behaviors of solutions of third-order nonlinear functional differential equations [J].

Aktas, Mustafa Fahri ;

Cakmak, Devrim ;

Tiryaki, Aydin .

APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1849-1855

[2] A Study of Continuous Dependence and Symmetric Properties of Double Diffusive Convection: Forchheimer Model [J].

Ali, Ali Hasan ;

Meften, Ghazi Abed ;

Bazighifan, Omar ;

Iqbal, Mehak ;

Elaskar, Sergio ;

Awrejcewicz, Jan .

SYMMETRY-BASEL, 2022, 14 (04)

[3] Novel Oscillation Theorems and Symmetric Properties of Nonlinear Delay Differential Equations of Fourth-Order with a Middle Term [J].

Almarri, Barakah ;

Janaki, S. ;

Ganesan, V ;

Ali, Ali Hasan ;

Nonlaopon, Kamsing ;

Bazighifan, Omar .

SYMMETRY-BASEL, 2022, 14 (03)

[4] Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions [J].

Almarri, Barakah ;

Ali, Ali Hasan ;

Lopes, Antonio M. ;

Bazighifan, Omar .

MATHEMATICS, 2022, 10 (06)

[5] Symmetric and Non-Oscillatory Characteristics of the Neutral Differential Equations Solutions Related to p-Laplacian Operators [J].

Almarri, Barakah ;

Ali, Ali Hasan ;

Al-Ghafri, Khalil S. ;

Almutairi, Alanoud ;

Bazighifan, Omar ;

Awrejcewicz, Jan .

SYMMETRY-BASEL, 2022, 14 (03)

[6] OSCILLATION CRITERIA FOR A CLASS OF NONLINEAR CONFORMABLE FRACTIONAL DAMPED DYNAMIC EQUATIONS ON TIME SCALES [J].

Alzabut, J. ;

Manikandan, S. ;

Muthulakshmi, V. ;

Harikrishnan, S. .

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020

[7]

[Anonymous], 1977, Applied Mathematical Sciences

[8]

Ardjouni A., 2018, COMMUN OPTIM THEORY, V2018, P19

[9] Oscillation of third-order neutral differential equations [J].

Baculikova, B. ;

Dzurina, J. .

MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) :215-226

[10] Extended Approach to the Asymptotic Behavior and Symmetric Solutions of Advanced Differential Equations [J].

Bazighifan, Omar ;

Ali, Ali Hasan ;

Mofarreh, Fatemah ;

Raffoul, Youssef N. .

SYMMETRY-BASEL, 2022, 14 (04)

← 1 2 3 4 5 →