ON THE OSCILLATION OF CERTAIN THIRD ORDER NONLINEAR DYNAMIC EQUATIONS WITH A NONLINEAR DAMPING TERM

被引：15

作者：

Grace, Said R. ^{[1
]}

Graef, John R. ^{[2
]}

Tunc, Ercan ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[3] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60240 Tokat, Turkey

来源：

MATHEMATICA SLOVACA | 2017年 / 67卷 / 02期

关键词：

Oscillation; third order; damping term; dynamic equation; time scales; CRITERIA;

D O I：

10.1515/ms-2016-0284

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New oscillation criteria for certain third order nonlinear dynamic equations with a nonlinear damping term are established. Examples to illustrate the results are included. (C) 2017 Mathematical Institute Slovak Academy of Sciences

引用

页码：501 / 508

页数：8

共 28 条

[1]

[Anonymous], ADV DIFFERENCE EQU

[2]

[Anonymous], DYN CONTIN DISCRET B

[3]

[Anonymous], ELECT J DIFFERENTIAL

[4]

[Anonymous], CAN APPL MATH Q

[5]

Bohner M., 2001, Dynamic equations on time scales: an introduction with applications, DOI DOI 10.1007/978-1-4612-0201-1

[6]

Chen, 2008, CAN APPL MATH Q, V16, P19

[7] Hille and Nehari type criteria for third-order dynamic equations [J].

Erbe, L. ;

Peterson, A. ;

Saker, S. H. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) :112-131

[8] Oscillation of third order nonlinear functional dynamic equations on time scales [J].

Erbe L. ;

Hassan T.S. ;

Peterson A. .

Differential Equations and Dynamical Systems, 2010, 18 (1-2) :199-227

[9] Oscillation of third order functional dynamic equations with mixed arguments on time scales [J].

Erbe L. ;

Hassan T.S. ;

Peterson A. .

Journal of Applied Mathematics and Computing, 2010, 34 (1-2) :353-371

[10] Oscillation criteria for higher order nonlinear dynamic equations [J].

Grace, Said R. ;

Hassan, Taher S. .

MATHEMATISCHE NACHRICHTEN, 2014, 287 (14-15) :1659-1673

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