Oscillatory and asymptotic behavior of even-order nonlinear differential equations with mixed neutral terms

被引：0

作者：

Grace, Said R. ^{[1
]}

Li, Tongxing ^{[2
]}

Chhatria, Gokula Nanda ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Orman 12221, Gizza, Egypt

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[3] Sambalpur Univ, Dept Math, Sambalpur 768019, India

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 04期

关键词：

Oscillation; nonoscillation; neutral differential equation; asymptotic behaviour; comparison method; DYNAMIC EQUATIONS; CRITERIA; THEOREMS;

D O I：

10.1515/ms-2024-0068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the oscillation and asymptotic behaviour of even order nonlinear differential equations with mixed nonlinear neutral terms. The findings are obtained via utilising an integral criterion as well as a comparison theorem with the oscillatory properties of a first order advanced and/or delay differential equation. We provide novel oscillation criteria that improve, extend, and simplify previously published ones. The results are illustrated by two examples.

引用

页码：917 / 928

页数：12

共 37 条

[1]

Agarwal R. P., 2002, Oscillation theory for second order linear, half-linear, superlinear and sublinear dynamic equations

[2]

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

[3]

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

[4]

Agarwal Ravi P., 2004, [Communications of the KMS, 대한수학회논문집], V19, P307

[5] A new approach in the study of oscillatory behavior of even-order neutral delay differential equations [J].

Agarwal, Ravi P. ;

Bohner, Martin ;

Li, Tongxing ;

Zhang, Chenghui .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 :787-794

[6]

Agarwal RP, 2004, MATH COMPUT MODEL, V39, P1185, DOI 10.1016/j.mcm2002.11.003

[7] Oscillation criteria for certain nth order differential equations with deviating arguments [J].

Agarwal, RP ;

Grace, SR ;

O'Regan, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :601-622

[8] New oscillation results for higher order nonlinear differential equations with a nonlinear neutral terms [J].

Alzabut, Jehad ;

Grace, Said R. ;

Chhatria, Gokula N. .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 28 (03) :294-305

[9]

Bainov D. D., 1991, Oscillation theory for neutral differential equations with delay, V1

[10] NONLINEAR EQUATIONS OF FOURTH-ORDER WITH p-LAPLACIAN LIKE OPERATORS: OSCILLATION, METHODS AND APPLICATIONS [J].

Bazighifan, Omar ;

Ragusa, Maria Alessandra .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (03) :1009-1020

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