Superlinear distributed deviating arguments to study second-order neutral differential equations

被引：2

作者：

Vijayakumar, Muniyappan ^{[1
]}

Thamilvanan, Sivaraj Kanniyammal ^{[1
]}

Sudha, Balakrishnan ^{[1
]}

Santra, Shyam Sundar ^{[2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] SRM Inst Sci & Technol, Dept Math, Kattankulathur 603203, Tamilnadu, India

[2] JIS Coll Engn, Dept Math, Kalyani 741235, India

[3] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut 11022801, Lebanon

[4] Inst Space Sci, Magurele 077125, Romania

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 33卷 / 03期

关键词：

Superlinear neutral term; distributed deviating argument; second; -order; oscillation; OSCILLATION CRITERIA; DYNAMIC EQUATIONS; BEHAVIOR; EVEN; THEOREMS;

D O I：

10.22436/jmcs.033.03.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to obtain new criteria for oscillating all solutions of second-order differential equations with distributed deviating arguments and superlinear neutral terms. Using the comparative and integral averaging techniques, we find new conditions for oscillation that generalize and add to some of the already found results. There are examples to show how important the main results are.

引用

页码：217 / 224

页数：8

共 50 条

[41] Oscillation criteria for second-order neutral equations with distributed deviating argument
Zhao, Junhua
Meng, Fanwei
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 485 - 493
[42] OSCILLATION CRITERIA FOR A CERTAIN SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
Tiryaki, Aydin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (61) : 1 - 11
[43] Oscillation properties of solutions to systems of second-order differential equations with deviating arguments
Koplatadze, RG
Partsvaniya, NL
DIFFERENTIAL EQUATIONS, 1997, 33 (10) : 1318 - 1326
[44] Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms
Orhan Özdemir
Ayla Kılıç
Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 83 - 99
[45] OSCILLATION CRITERIA OF SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS
Thandapani, E.
Piramanantham, V.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (61)
[46] Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms
Ozdemir, Orhan
Kilic, Ayla
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (01) : 83 - 99
[47] OSCILLATION CRITERIA FOR ODD-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS
Tunc, Ercan
Sarigul, Mine
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (02): : 147 - 160
[48] Oscillation criteria for even-order neutral differential equations with distributed deviating arguments
Osama Moaaz
Elmetwally M. Elabbasy
Ali Muhib
Advances in Difference Equations, 2019
[49] Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments
Candan, T.
Dahiya, R. S.
MATHEMATICA SLOVACA, 2013, 63 (01) : 183 - 190
[50] Oscillation criteria for even-order neutral differential equations with distributed deviating arguments
Moaaz, Osama
Elabbasy, Elmetwally M.
Muhib, Ali
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)

← 1 2 3 4 5 →