Qualitative Behavior of Unbounded Solutions of Neutral Differential Equations of Third-Order

被引：1

作者：

Kumar, M. Sathish ^{[1
]}

Elayaraja, R. ^{[2
]}

Ganesan, V. ^{[3
]}

Bazighifan, Omar ^{[4
,5
]}

Al-Shaqsi, Khalifa ^{[6
]}

Nonlaopon, Kamsing ^{[7
]}

机构：

[1] Paavai Engn Coll Autonomous, Dept Math, Namakkal 637018, Tamil Nadu, India

[2] Annai Mathammal Sheela Engn Coll, Dept Math, Namakkal 637013, Tamil Nadu, India

[3] Aringar Anna Govt Arts Coll, PG & Res Dept Math, Namakkal 637002, Tamil Nadu, India

[4] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II,39, I-00186 Rome, Italy

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

[6] Univ Technol & Appl Sci, Dept Informat Technol, Nizwa Coll Technol, POB 75, Nizwa 612, Oman

[7] Khon Kaen Univ, Dept Math, Khon Kaen 40002, Thailand

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 03期

关键词：

neutral differential equation; oscillation; asymptotic behavior; deviating arguments;

D O I：

10.3390/fractalfract5030095

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New oscillatory properties for the oscillation of unbounded solutions to a class of third-order neutral differential equations with several deviating arguments are established. Several oscillation results are established by using generalized Riccati transformation and a integral average technique under the case of unbounded neutral coefficients. Examples are given to prove the significance of new theorems.

引用

页数：13

共 50 条

[21] Asymptotic behavior of solutions of the third-order nonlinear advanced differential equations
Qaraad, Belgees
Nuwairan, Muneerah A. L.
AIMS MATHEMATICS, 2023, 8 (10): : 23800 - 23814
[22] Oscillation of third-order nonlinear neutral differential equations
Dosla, Z.
Liska, P.
APPLIED MATHEMATICS LETTERS, 2016, 56 : 42 - 48
[23] COMPARISON THEOREMS FOR THIRD-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Dosla, Zuzana
Liska, Petr
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[24] OSCILLATION OF THIRD-ORDER NEUTRAL DAMPED DIFFERENTIAL EQUATIONS
Bartusek, Miroslav
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
[25] Oscillation of Third-Order Nonlinear Neutral Differential Equations
Liska, Petr
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 233 - 245
[26] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS
HARA, T
PROCEEDINGS OF THE JAPAN ACADEMY, 1971, 47 : 903 - 908
[27] Oscillation of Third-Order Neutral Delay Differential Equations
Li, Tongxing
Zhang, Chenghui
Xing, Guojing
ABSTRACT AND APPLIED ANALYSIS, 2012,
[28] Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior
Qaraad, B.
Moaaz, O.
Baleanu, D.
Santra, S. S.
Ali, R.
Elabbasy, E. M.
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (02) : 1649 - 1658
[29] Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators
Alsharidi, Abdulaziz Khalid
Muhib, Ali
MATHEMATICS, 2024, 12 (16)
[30] Oscillatory Behavior of Third-Order Quasi-Linear Neutral Differential Equations
Qaraad, Belgees
Moaaz, Osama
Santra, Shyam Sundar
Noeiaghdam, Samad
Sidorov, Denis
Elabbasy, Elmetwally M.
AXIOMS, 2021, 10 (04)

← 1 2 3 4 5 →