TITLE:
On the Asymptotic Behavior of Second Order Quasilinear Difference Equations
AUTHORS:
Vadivel Sadhasivam, Pon Sundar, Annamalai Santhi
KEYWORDS:
Asymptotic Behavior, Positive Solutions, Homogeneous, Quasilinear Difference Equations
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.14,
August
29,
2016
ABSTRACT: In this paper, we investigate the
asymptotic behavior of the following quasilinear difference equations (E) where , . We classified the solutions into six types by means of their asymptotic
behavior. We establish the necessary and/or sufficient conditions for such equations
to possess a solution of each of these six types.