PHILOS TYPE CRITERIA FOR SECOND-ORDER HALF-LINEAR DYNAMIC EQUATIONS

被引：0

作者：

Grace, Said R. ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

Bohner, Martin ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

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

[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[3] Missouri Univ Sci & Technol, Dept Econ & Finance, Rolla, MO 65409 USA

[4] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2011年 / 14卷 / 01期

基金：

美国国家科学基金会;

关键词：

Dynamic equation; half-linear; oscillation; nonoscillation; OSCILLATION CRITERIA;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some new criteria for the oscillation of solutions of the second-order half-linear dynamic equation (a(x(Delta))(alpha))(Delta)(t) + q(t)x(alpha)(t) = 0 are established when integral(infinity) a(-1/alpha)(s)Delta s = infinity.

引用

页码：211 / 222

页数：12

共 23 条

[11] [Anonymous], 2000, OSCILLATION THEORY D, DOI DOI 10.1007/978-94-015-9401-1
[12] Oscillation criteria for perturbed nonlinear dynamic equations
Bohner, M
Saker, SH
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (3-4) : 249 - 260
[13] Oscillation of second order nonlinear dynamic equations on time scales
Bohner, M
Saker, SH
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (04) : 1239 - 1254
[14] Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[15] BOHNER M, 2003, ADVANCES DYNAMIC EQU
[16] Bohner M., 2006, SELCUK J APPL MATH, V7, P25
[17] Boundedness and oscillation for nonlinear dynamic equations on a time scale
Erbe, L
Peterson, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (03) : 735 - 744
[18] Oscillation criteria for second-order nonlinear dynamic equations on time scales
Erbe, L
Peterson, A
Saker, SH
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 67 : 701 - 714
[19] Comparison theorems for linear dynamic equations on time scales
Erbe, L
Peterson, A
Rehák, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 275 (01) : 418 - 438
[20] On the oscillation of second-order half-linear dynamic equations
Grace, Said R.
Bohner, Martin
Agarwal, Ravi P.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (05) : 451 - 460

← 1 2 3 →