Oscillatory Behavior of Even Order Quasilinear Delay Difference Equations

R. Arul; K. Alagesan; G. Ayyappan

R. Arul Department of Mathematics, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu, India
K. Alagesan Department of Mathematics, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu, India
G. Ayyappan Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti - 636 905, Tamil Nadu, India

Keywords: Oscillation, even order, delay difference equations.

Abstract

In this paper, we consider the quasilinear delay difference equation of the form

and obtained sufficient conditions for the oscillation for all solutions. Example are given to illustrate the main results.

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