Oscillatory behavior of second-order nonlinear delay dynamic equations with multiple sublinear neutral terms utilizing canonical transformation

被引：1

作者：

Affan, S. E. ^{[4
]}

Hassan, Taher S. ^{[1
,2
,3
]}

Elabbasy, E. M. ^{[3
]}

Saied, E. A. ^{[4
]}

Hassan, A. M. ^{[4
]}

机构：

[1] Univ Hail, Coll Sci, Dept Math, Hail, Saudi Arabia

[2] Int Telematic Univ Uninettuno, Sect Math, Rome, Italy

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[4] Benha Univ, Fac Sci, Dept Math, Banha 13518, Kalubia, Egypt

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 02期

关键词：

canonical transformation; noncanonical; oscillation; sublinear neutral terms; DIFFERENTIAL-EQUATIONS; CRITERIA;

D O I：

10.1002/mma.10397

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to present innovative criteria for characterizing the oscillatory behavior of second-order nonlinear delay dynamics expressed in noncanonical form with sublinear neutral terms. We achieve this by converting the noncanonical equation into an equivalent canonical form. The practical examples presented throughout this paper illustrate the significance of our findings and contribute to enhancing, generalizing, and augmenting the existing literature on this subject.

引用

页码：1589 / 1600

页数：12

共 37 条

[1] Oscillation of second-order non-canonical non-linear dynamic equations with a sub-linear neutral term [J].

Abbas, Syed ;

Grace, Said R. ;

Graef, John R. ;

Negi, Shekhar Singh .

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024, 32 (03) :819-829

[2] Dynamic equations on time scales: a survey [J].

Agarwal, R ;

Bohner, M ;

O'Regan, D ;

Peterson, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :1-26

[3] Some remarks on oscillation of second order neutral differential equations [J].

Agarwal, Ravi P. ;

Zhang, Chenghui ;

Li, Tongxing .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 :178-181

[4]

AVAZZADEH Z, 2024, J VIB CONTROL, P1

[5] OSCILLATORY CRITERIA FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH SEVERAL SUBLINEAR NEUTRAL TERMS [J].

Baculikova, Blanka .

OPUSCULA MATHEMATICA, 2019, 39 (06) :753-763

[6]

Bohner M., 2012, Dynamic Equations on Time Scales: An Introduction with Applications

[7]

Bohner M., 2019, Math. Morav., V23, P1

[8] OSCILLATION OF SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS [J].

Bohner, Martin ;

El-Morshedy, Hassan ;

Grace, Said ;

Jadlovska, Irena .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (05) :2646-2658

[9] Oscillation criteria for second-order neutral delay differential equations [J].

Bohner, Martin ;

Grace, Said R. ;

Jadlovska, Irena .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (60) :1-12

[10]

Chatzarakis G., 2023, TATRA MOUNTAINS MATH, V86, P1

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