Title
Oscillation of second-order perturbed nonlinear difference equations
Abstract
Using the Riccati transformation techniques we will establish some new oscillation criteria for the second-order perturbed nonlinear difference equation Δ (a n−1 ( Δ x n−1 ) γ )+F(n,x n )=G(n,x n , Δ x n ), n⩾1 where γ >0 is a quotient of odd positive integers. Some comparison between our theorems and those previously known results are indicated. Examples are interested in the text to illustrate the relevance of our results.
Year
DOI
Venue
2003
10.1016/S0096-3003(02)00409-5
Applied Mathematics and Computation
Keywords
Field
DocType
Oscillation,Second-order difference equations
Integer,Differential equation,Oscillation,Nonlinear system,Transcendental equation,Recurrence relation,Mathematical analysis,Quotient,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
144
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
3
0.81
7
Authors
1
Name
Order
Citations
PageRank
S. H. Saker14419.32