Asymptotic results for a class of fourth order quasilinear difference equations.

The authors consider the fourth order quasilinear difference equation[image omitted] where α and β are positive constants and {pn} and {qn} are positive real sequences. They classify the nonoscillatory solutions according to their asymptotic behavior for large n and then give necessary and sufficient conditions for existence of solutions of these various types. The results are illustrated with examples. [ABSTRACT FROM AUTHOR]