Oscillation of Solutions of Nonlinear Difference Equation With a Super-linear Neutral Term

Author:

Dharuman C.1,Thandapani E.2

Affiliation:

1. 1Department of Mathematics, SRM University, Ramapuram Campus, Chennai - 600 089, India

2. 2Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India

Abstract

Abstract This paper deals with the oscillation of solutions of certain class of neutral difference equation ∆(an∆(χn + pnχαn−k)) + qnχβn+1−l = 0, where α and β are ratio of odd positive integers. New sufficient conditions are obtained for the oscillation of studied equation and examples illustrating the main results are provided.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Reference8 articles.

1. and asymptotic properties of solutions of even order neutral difference equations Differ;Migda;Appl,2009

2. Oscillation for nonlinear delay difference equations;Tang;Math,2001

3. Oscillation and asymptotic behavior of second order difference equations with nonlinear neutral term;Thandapani;Appl Math Notes,2004

4. Discrete Oscillation Theory Pub New York;Agarwal,2005

5. Oscillation of solutions of neutral di erence equations with a nonlinear term;Liu;Math Appl,2006

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