Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term-Reference-Cited by-同舟云学术

Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term

Published:2018-11-08 Issue: Volume:2018 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ayyappan Govindasamy¹^ORCID,Nithyakala Gunasekaran¹

Affiliation:

1. Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti 636 905, Tamilnadu, India

Abstract

In this paper, some new results are obtained for the even order neutral delay difference equationΔanΔm-1xn+pnxn-kα+qnxn-lβ=0, wherem≥2is an even integer, which ensure that all solutions of the studied equation are oscillatory. Our results extend, include, and correct some of the existing results. Examples are provided to illustrate the importance of the main results.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2018/2590158.pdf

Reference24 articles.

1. Discrete Oscillation Theory

2. Oscillations of higher-order neutral difference equations

3. Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient

4. On the Oscillation of Even-Order Half-Linear Functional Difference Equations with Damping Term

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