Study on the oscillation of solution to second-order impulsive systems

被引：10

作者：

Santra, Shyam Sundar ^{[1
]}

Mondal, Palash ^{[2
]}

Samei, Mohammad Esmael ^{[3
]}

Alotaibi, Hammad ^{[4
]}

Altanji, Mohamed ^{[5
]}

Botmart, Thongchai ^{[6
]}

机构：

[1] JIS Coll Engn, Dept Math, Kalyani 741235, W Bengal, India

[2] Assistant Teacher Sankarpur High Madrasah HS, Murshidabad 742159, India

[3] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan 6517838695, Iran

[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

[5] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia

[6] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 09期

关键词：

nonlinear; nonoscillation; delay argument; second-order differential equation; Lebesgue's dominated convergence theorem; DIFFERENTIAL-EQUATIONS; CRITERIA; EVEN;

D O I：

10.3934/math.20231134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of two positive odd integers. Our main tool is the Lebesgue's dominated convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem.

引用

页码：22237 / 22255

页数：19

共 35 条

[1] 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

[2] Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties [J].

Agarwal, Ravi P. ;

Bohner, Martin ;

Li, Tongxing ;

Zhang, Chenghui .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 :481-490

[3] Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators [J].

Amiri, Pari ;

Samei, Mohammad Esmael .

CHAOS SOLITONS & FRACTALS, 2022, 165

[4]

Bainov D., 1994, IMPULSIVE DIFFERENTI, DOI [10.1142/2058, DOI 10.1142/2058]

[5] Oscillation of the solutions of impulsive differential equations and inequalities with a retarded argument [J].

Bainov, DD ;

Dimitrova, MB ;

Dishliev, AB .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1998, 28 (01) :25-40

[6] THE PERSISTENCE OF NONOSCILLATORY SOLUTIONS OF DELAY-DIFFERENTIAL EQUATIONS UNDER IMPULSIVE PERTURBATIONS [J].

CHEN, MP ;

YU, JS ;

SHEN, JH .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (08) :1-6

[7] Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term [J].

Dzurina, Jozef ;

Grace, Said R. ;

Jadlovska, Irena ;

Li, Tongxing .

MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) :910-922

[8] On periodic solutions of a discrete Nicholson's dual system with density-dependent mortality and harvesting terms [J].

Eswari, Rajendiran ;

Alzabut, Jehad ;

Samei, Mohammad Esmael ;

Zhou, Hui .

ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)

[9] Oscillation of impulsive neutral delay differential equations [J].

Graef, JR ;

Shen, JH ;

Stavroulakis, IP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (01) :310-333

[10] On multi-step methods for singular fractional q-integro-differential equations [J].

Hajiseyedazizi, Sayyedeh Narges ;

Samei, Mohammad Esmael ;

Alzabut, Jehad ;

Chu, Yu-ming .

OPEN MATHEMATICS, 2021, 19 (01) :1378-1405

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