Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations

被引:106
作者
Grace, Said R. [2 ]
Agarwal, Ravi P. [3 ]
Bohner, Martin [1 ]
O'Regan, Donal [4 ]
机构
[1] Missouri Univ Sci & Technol, Dept Econ & Finance, Rolla, MO 65409 USA
[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt
[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[4] Natl Univ Ireland, Dept Math, Galway, Ireland
关键词
Dynamic equation; Time scale; Nonlinear; Superlinear; Sublinear; Oscillation; TIME SCALES; CRITERIA;
D O I
10.1016/j.cnsns.2009.01.003
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
We establish some new criteria for the oscillation of second-order nonlinear dynamic equations on a time scale. We study the case of strongly superlinear and the case of strongly sublinear equations subject to various conditions. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:3463 / 3471
页数:9
相关论文
共 20 条
[1]
Dynamic equations on time scales: a survey [J].
Agarwal, R ;
Bohner, M ;
O'Regan, D ;
Peterson, A .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :1-26
[2]
Agarwal R. P., 2004, MONOGRAPHS TXB PURE
[3]
Agarwal R. P., 2002, Oscillation Theory for Second Order Linear, Half Linear, Superlinear and Sublinear Dynamic Equations
[4]
Agarwal R. P., 2003, Series in Mathematical Analysis and Applications, V5
[5]
On the oscillation of certain second order difference equations [J].
Agarwal, RP ;
Grace, SR ;
O'Regan, D .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (01) :109-119
[6]
AGARWAL RP, 2008, CAN APPL MA IN PRESS, V15
[7]
AGARWAL RP, 2008, J DIFFER EQ IN PRESS
[8]
Akin-Bohner E, 2007, ELECTRON T NUMER ANA, V27, P1
[9]
[Anonymous], ADV DYNAMIC EQUATION
[10]
[Anonymous], 2005, DISCRETE OSCILLATION, DOI DOI 10.1155/9789775945198