Some New Oscillatory Behavior of Certain Third-Order Nonlinear Neutral Differential Equations of Mixed Type

被引：6

作者：

Sathish Kumar M. ^{[1
]}

Janaki S. ^{[2
]}

Ganesan V. ^{[3
]}

机构：

[1] Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal, 637018, Tamil Nadu

[2] Deputy Directorate of Statistics, Government of Tamil Nadu, Namakkal, 637003, Tamil Nadu

[3] Department of Mathematics, Aringar Anna Government Arts College, Namakkal, 637002, Tamil Nadu

来源：

International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 2期

关键词：

Mixed arguments; Neutral differential equation; Oscillation of solutions; Third-order;

D O I：

10.1007/s40819-018-0508-8

中图分类号：

学科分类号：

摘要：

By applying Riccati substitution techniques triply, we establish some new oscillation and asymptotic nature of solutions to the third-order nonlinear differential equations with mixed neutral type. We present many theorems and related examples in order to illustrate and substantiate the main theory. © 2018, Springer (India) Private Ltd., part of Springer Nature.

引用

共 50 条

[21] New oscillatory criteria for third-order differential equations with mixed argument
Dzurina, Jozef
Baculikova, Blanka
MATHEMATICA SLOVACA, 2024, 74 (05) : 1233 - 1240
[22] NEW RESULTS ON ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Omeike, Mathew Omonigho
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2011, 35 (01): : 99 - 109
[23] Oscillation of third-order neutral differential equations with oscillatory operator
Bartusek, Miroslav
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (08) : 3069 - +
[24] Asymptotic Behavior of Solutions of the Third Order Nonlinear Mixed Type Neutral Differential Equations
Moaaz, Osama
Chalishajar, Dimplekumar
Bazighifan, Omar
MATHEMATICS, 2020, 8 (04)
[25] Oscillatory Behavior of Third-Order Nonlinear Difference Equations with a Nonlinear-Nonpositive Neutral Term
Said R. Grace
Mediterranean Journal of Mathematics, 2019, 16
[26] Oscillatory Behavior of Third-Order Nonlinear Difference Equations with a Nonlinear-Nonpositive Neutral Term
Grace, Said R.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (05)
[27] Oscillation of third-order nonlinear neutral differential equations
Dosla, Z.
Liska, P.
APPLIED MATHEMATICS LETTERS, 2016, 56 : 42 - 48
[28] Oscillation of Third-Order Nonlinear Neutral Differential Equations
Liska, Petr
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 233 - 245
[29] OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS
Tunc, Ercan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[30] Oscillatory behavior of third-order neutral delay differential equations with distributed deviating arguments
Sun, Yibing
Zhao, Yige
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

← 1 2 3 4 5 →