Equivalence Transformation for Neutral Differential Equations: Oscillation of Solutions

被引：0

作者：

Zafer, Agacik ^{[1
]}

Candan, Tuncay ^{[1
]}

Guerkan, Zeynep Nilhan ^{[1
]}

机构：

[1] Amer Univ Middle East, Coll Engn & Technol, Egaila 54200, Kuwait

来源：

MATHEMATICS | 2025年 / 13卷 / 14期

关键词：

second-order; neutral equation; canonical; noncanonical; oscillation;

D O I：

10.3390/math13142243

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce an equivalence transformation to study the oscillation behavior of solutions for linear neutral differential equations of canonical and noncanonical types. The new approach leads to several novel oscillation criteria. Moreover, we show that the same arguments can be applied to nonlinear neutral equations under suitable monotonicity conditions. The importance of the results is also supported by examples.

引用

页数：11

共 19 条

[1]

Agarwal R.P., 2004, Nonoscillation and oscillation: Theory for functional differential equations, Monographs and

[2]

Agarwal R.P., 2000, Oscillation Theory for Difference and Functional Differential Equations, DOI 10.1007/978- 94-015-9401-1

[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]

Agarwal RP, 2014, CARPATHIAN J MATH, V30, P1

[5] Oscillation theorems for second order neutral differential equations [J].

Baculikova, B. ;

Dzurina, J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (01) :94-99

[6] Oscillation of half-linear differential equations with mixed type of argument [J].

Baculikova, Blanka ;

Dzurina, Jozef .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (10) :1-8

[7] Numerical stability of nonlinear delay differential equations of neutral type [J].

Bellen, A ;

Guglielmi, N ;

Zennaro, M .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 125 (1-2) :251-263

[8]

Erbe L.H., 1995, Oscillation Theory for Functional Differential Equations

[9] On Oscillation of Second Order Delay Differential Equations with a Sublinear Neutral Term [J].

Grace, Said R. ;

Jadlovska, Irena ;

Zafer, Agacik .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (04)

[10]

Grammatikopoulos M.K., 1985, Rad. Math, V1, P267

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