Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales

被引：1

作者：

Hassan, A. ^{[1
]}

Odinaev, Ismoil ^{[2
]}

Hassan, Taher S. ^{[3
,4
,5
]}

机构：

[1] Benha Univ, Fac Sci, Dept Math, Benha Kalubia 13518, Egypt

[2] Ural Fed Univ, Ural Power Engn Inst, Dept Automated Elect Syst, Ekaterinburg 620002, Russia

[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2, I-00186 Rome 39, Italy

[4] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia

[5] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

JOURNAL OF MATHEMATICS | 2023年 / 2023卷

关键词：

DIFFERENTIAL-EQUATIONS; CRITERIA; THEOREMS;

D O I：

10.1155/2023/5585174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of this article is to examine the oscillatory behavior of a class of quasilinear second-order dynamic equations on time scales. Our focus will be on the noncanonical case, which has received relatively less attention compared to the more commonly studied canonical dynamic equations. Our approach involves transforming the noncanonical equation into a corresponding canonical equation. By utilizing this transformation and a range of techniques, we develop new, more efficient, and precise oscillation criteria. Finally, we demonstrate the significance and usefulness of our results by applying them to specific cases within the equation being studied.

引用

页数：10

共 50 条

[31] OSCILLATORY BEHAVIOR OF SOLUTIONS OF DYNAMIC EQUATIONS OF HIGHER ORDER ON TIME SCALES
Hassan, Taher S.
O'Regan, Donal
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (02) : 599 - 617
[32] Oscillatory and Asymptotic Behavior for Second Order Quasilinear Difference Equations
将建初
李小平
NortheasternMathematicalJournal, 2001, (03) : 315 - 322
[33] ON OSCILLATORY SECOND ORDER NONLINEAR IMPULSIVE DELAY DYNAMIC EQUATIONS ON TIME SCALES
Chhatria, G. N.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (03): : 689 - 699
[34] Oscillatory criteria for second-order quasilinear neutral delay difference equations
Jiang, JC
APPLIED MATHEMATICS AND COMPUTATION, 2002, 125 (2-3) : 287 - 293
[35] Oscillation criteria of second-order delay dynamic equations on time scales
Han, Zhenlai
Sun, Shurong
Sui, Meizhen
SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 1, PROCEEDINGS, 2007, : 406 - +
[36] Oscillation of second-order nonlinear delay dynamic equations on time scales
Zhang, BG
Zhu, SL
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (04) : 599 - 609
[37] Variational approach to second-order impulsive dynamic equations on time scales
Victoria Otero-Espinar
Tania Pernas-Castaño
Boundary Value Problems, 2013
[38] OSCILLATION FOR FORCED SECOND-ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES
Huang, Mugen
Feng, Weizhen
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[39] Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
Agwa, H. A.
Khodier, A. M. M.
Hassan, Heba A.
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[40] Oscillatory Behavior of Solutions of Certain Integrodynamic Equations of Second Order on Time Scales
Grace, Said R.
El-Beltagy, Mohamed A.
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →