Oscillation of noncanonical fourth-order dynamic equations

被引：1

作者：

Liu, Qingmin ^{[1
]}

Grace, Said R. ^{[2
]}

Tunc, Ercan ^{[3
]}

Li, Tongxing ^{[1
,4
]}

机构：

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

[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza, Egypt

[3] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, Tokat, Turkiye

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

来源：

APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING | 2023年 / 31卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Oscillation; fourth-order; noncanonical dynamic equation; nonlinear dynamic equation; time scale; CRITERIA;

D O I：

10.1080/27690911.2023.2239435

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present two sufficient conditions for the oscillatory behaviour of a class of noncanonical fourth-order dynamic equations on arbitrary time scales. An illustrative example is included to show that new criteria improve related results reported in the literature.

引用

页数：8

共 17 条

[1] Oscillation Theorems for Fourth-Order Half-Linear Delay Dynamic Equations with Damping
Agarwal, Ravi P.
Bohner, Martin
Li, Tongxing
Zhang, Chenghui
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (02) : 463 - 475
[2] Bohner M., 2001, Dynamic Equations on Time Scales, DOI DOI 10.1007/978-1-4612-0201-1
[3] Bohner M., 2003, ADV DYNAMIC EQUATION, DOI DOI 10.1007/978-0-8176-8230-9
[4] Kamenev-type criteria for nonlinear damped dynamic equations
Bohner Martin
Li TongXing
[J]. SCIENCE CHINA-MATHEMATICS, 2015, 58 (07) : 1445 - 1452
[5] Hille and Nehari type criteria for third-order dynamic equations
Erbe, L.
Peterson, A.
Saker, S. H.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 112 - 131
[6] Oscillation of higher order nonlinear dynamic equations with a nonlinear neutral term
Grace, Said R.
Chhatria, Gokula N.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 2373 - 2388
[7] New oscillation results for non-canonical higher order nonlinear neutral dynamic equations
Grace, Said R.
Agarwal, Ravi P.
Wang, Chao
[J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (03):
[8] Oscillation criteria for higher order nonlinear dynamic equations
Grace, Said R.
Hassan, Taher S.
[J]. MATHEMATISCHE NACHRICHTEN, 2014, 287 (14-15) : 1659 - 1673
[9] On the Oscillation of nth Order Dynamic Equations on Time-Scales
Grace, Said R.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (01) : 147 - 156
[10] Grace SR, 2010, HACET J MATH STAT, V39, P545

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