NOVEL OSCILLATION CRITERIA FOR THIRD-ORDER SEMI-CANONICAL DIFFERENTIAL EQUATIONS WITH AN ADVANCED NEUTRAL TERM

被引：0

作者：

Vidhyaa, Kumar S. ^{[1
]}

Thandapani, Ethiraju ^{[2
]}

Tunc, Ercan ^{[3
]}

机构：

[1] Easwari Engn Coll, Dept Math, Chennai 600089, India

[2] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, India

[3] Tokat Gaziosmanpasa Univ, Dept Math, Fac Arts & Sci, TR-60240 Tokat, Turkiye

来源：

OPUSCULA MATHEMATICA | 2025年 / 45卷 / 04期

关键词：

third-order; neutral differential equations; semi-canonical; oscillation;

D O I：

10.7494/OpMath.2025.45.4.543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to present new oscillation results for nonlinear semi-canonical third-order differential equations with an advanced neutral term. The main idea is first by reducing the studied semi-canonical equation into standard canonical type equation without assuming any extra conditions. Then, by using the comparison method and integral averaging technique, sufficient conditions are established to ensure the oscillation of the reduced canonical equation, which in turn leads to the oscillation of the original equation. Therefore, the technique used here is very useful since the results already known for the canonical equations can be applied to obtain the oscillation of the semi-canonical equations. Two examples are provided to illustrate the importance of the main results.

引用

页码：543 / 558

页数：16

共 36 条

[1]

Agarwal R.P., 2010, Oscillation Theory for Difference and Functional Differential Equations

[2] PROPERTIES OF KNESER'S SOLUTION FOR HALF-LINEAR THIRD ORDER NEUTRAL DIFFERENTIAL EQUATIONS [J].

Baculikova, B. ;

Rani, B. ;

Selvarangam, S. ;

Thandapani, E. .

ACTA MATHEMATICA HUNGARICA, 2017, 152 (02) :525-533

[3] Remark on properties of Kneser solutions for third-order neutral differential equations [J].

Baculikova, B. ;

Dzurina, J. .

APPLIED MATHEMATICS LETTERS, 2017, 63 :1-5

[4] Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform [J].

Chandrasekaran, Ekambaram ;

Chatzarakis, George E. ;

Sakthivel, Radhakrishnan ;

Thandapani, Ethiraju .

MATHEMATICS, 2024, 12 (19)

[5]

Chatzarakis G.E., 2019, Mathematics, V7, P1

[6] Oscillation Criteria for Third-Order Emden-Fowler Differential Equations with Unbounded Neutral Coefficients [J].

Chatzarakis, George E. ;

Grace, Said R. ;

Jadlovska, Irena ;

Li, Tongxing ;

Tunc, Ercan .

COMPLEXITY, 2019, 2019

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

Dosla, Z. ;

Liska, P. .

APPLIED MATHEMATICS LETTERS, 2016, 56 :42-48

[8] On nonexistence of Kneser solutions of third-order neutral delay differential equations [J].

Dzurina, J. ;

Grace, S. R. ;

Jadlovska, I .

APPLIED MATHEMATICS LETTERS, 2019, 88 (193-200) :193-200

[9] Property (A) of third-order advanced differential equations [J].

Dzurina, J. ;

Baculikova, B. .

MATHEMATICA SLOVACA, 2014, 64 (02) :339-346

[10] Oscillation of a Class of Third-Order Neutral Differential Equations with Noncanonical Operators [J].

Feng, Limei ;

Han, Zhenlai .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) :2519-2530

← 1 2 3 4 →