OSCILLATION CRITERIA FOR CERTAIN THIRD ORDER NONLINEAR DIFFERENCE EQUATIONS

被引：21

作者：

Grace, Said R. ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

Graef, John R. ^{[3
]}

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

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2009年 / 3卷 / 01期

关键词：

Difference equation; oscillation; nonoscillation; comparison;

D O I：

10.2298/AADM0901027G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new criteria for the oscillation of all solutions of third order nonlinear difference equations of the form Delta(a(n)(Delta(2)x(n))(alpha)) + q(n)f(x[g(n)]) = 0 and Delta(a(n)(Delta(2)x(n))(alpha)) = q(n)f(x[g(n)]) + p(n)h(x[sigma(n)]) with Sigma(infinity) a(-1/alpha) (n) < infinity are established.

引用

页码：27 / 38

页数：12

共 50 条

[1] Oscillation of a Certain Class of Third Order Nonlinear Difference Equations
Saker, S. H.
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2012, 35 (03) : 651 - 669
[2] Oscillation criteria for certain second order nonlinear difference equations
Grace, SR
El-Morshedy, HA
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1999, 60 (01) : 95 - 108
[3] Bounded oscillation criteria for certain third order nonlinear difference equations with several delays and advances
Liu, Zeqing
Xu, Yuguang
Kang, Shin Min
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1145 - 1161
[4] New oscillation criteria for third order nonlinear neutral difference equations
Saker, S. H.
[J]. MATHEMATICA SLOVACA, 2011, 61 (04) : 579 - 600
[5] OSCILLATION CRITERIA FOR CERTAIN NONLINEAR DIFFERENCE EQUATIONS
孙元功
[J]. Annals of Applied Mathematics, 2001, (03) : 242 - 247
[6] On the oscillation of third order nonlinear difference equations
Agarwal, Ravi P.
Grace, Said R.
Wong, Patricia J. Y.
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2010, 32 (01) : 189 - 203
[7] Oscillation of certain third-order difference equations
Agarwal, RP
Grace, SR
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) : 379 - 384
[8] On the oscillation of certain third-order difference equations
Ravi P Agarwal
Said Grace
Donal O'Regan
[J]. Advances in Difference Equations, 2005
[9] On the oscillation of certain third-order difference equations
Agarwal, Ravi P.
Grace, Said R.
O'Regan, Donal
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (03) : 345 - 367
[10] OSCILLATION CRITERIA FOR CERTAIN NONLINEAR DELAY DIFFERENCE EQUATIONS
孙元功
李田祺
[J]. Annals of Applied Mathematics, 2003, (01) : 71 - 75

← 1 2 3 4 5 →