Author(s)

Vadivel Sadhasivam¹, Pon Sundar², Annamalai Santhi¹

¹PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, Namakkal, India.
²Om Muruga College of Arts and Science, Salem, India.

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.

Asymptotic Behavior, Positive Solutions, Homogeneous, Quasilinear Difference Equations

Sadhasivam, V. , Sundar, P. and Santhi, A. (2016) On the Asymptotic Behavior of Second Order Quasilinear Difference Equations. Applied Mathematics, 7, 1612-1631. doi: 10.4236/am.2016.714139.