Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/oscillation-of-second-order-quasilinear-neutral-delay-difference-0XmGHGsFO3
References (16)
-
W.T. Li, S.H. Saker (2003)
Oscillation of second-order sublinear neutral delay difference equationsAppl. Math. Comput., 146
-
Jiang Jian-chu (2002)
Oscillatory criteria for second-order quasilinear neutral delay difference equationsApplied Mathematics and Computation, 125
-
B.G. Zhang, S.H. Saker (2003)
Kamenev-type oscillation criteria for nonlinear neutral delay difference equationsIndian J. Pure. Appl. Math., 34
-
ftp ejde.math.txstate.edu (login: ftp) KAMENEV-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER QUASILINEAR DIFFERENTIAL EQUATIONS -
S. Saker, S. Cheng (2004)
Kamenev Type Oscillation Criteria for Nonlinear Difference EquationsCzechoslovak Mathematical Journal, 54
-
Z.T. Xu, Y. Xia (2005)
Kamenev-type oscillation criteria for second-order quasilinear differential equationsElec. J. Diff. Eqs., 27
-
R.P. Agarwal (2000)
Difference Equations and Inequalities, Theory, Methods and applications -
E. Thandapani, K. Mahalingam (2003)
Oscillation and Nonoscillation of Second Order Neutral Delay Difference EquationsCzechoslovak Mathematical Journal, 53
-
Yong Zhou (2005)
Oscillation and nonoscillation criteria for second order quasilinear difference equationsJournal of Mathematical Analysis and Applications, 303
-
R. Agarwal, M. Bohner, S. Grace, D. O’Regan (2005)
Discrete Oscillation Theory -
S. Saker (2003)
Oscillation theorems for second-order nonlinear delay difference equationsPeriodica Mathematica Hungarica, 47
-
E. Thandapani, K. Mahalingam (2003)
Tamilnadu. Oscillation and nonoscillation of secon-order neutral delay difference equationsCzechoslovak Mathematical Journal, 53
-
Wan-Tong Li, S. Saker (2003)
Oscillation of Second-Order Sublinear Neutral Delay Difference EquationsMathematics eJournal
-
J. Wong (2001)
On Kamenev-Type Oscillation Theorems for Second-Order Differential Equations With Damping☆Journal of Mathematical Analysis and Applications, 258
-
G. Xu, S. Yung (2005)
The expansion of a semigroup and a Riesz basis criterionJournal of Differential Equations, 210
-
R. Agarwal, P. Wong (1992)
Advanced topics in difference equations
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-011-0043-4
- Publisher site
- See Article on Publisher Site
Abstract
By using the Riccati transformation and mathematical analytic methods, some sufficient conditions are obtained for oscillation of the second-order quasilinear neutral delay difference equations $$ \Delta [r_n |\Delta z_n |^{\alpha - 1} \Delta z_n ] + q_n f(x_{n - \sigma } ) = 0, $$ where z n = x n + p n x n-τ $$ \sum\limits_{n = 0}^\infty {1/r_n^{\tfrac{1} {\alpha }} } < \infty $$ .
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Dec 15, 2010