On the Oscillation of Even-Order Half-Linear Functional Difference Equations with Damping Term-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Bolat Yaşar¹,Alzabut Jehad²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science and Literatures, Kastamonu University, 037100 Kastamonu, Turkey

2. Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

Abstract

We investigate the oscillatory behavior of solutions of themth order half-linear functional difference equations with damping term of the formΔ[pnQ(Δm-1yn)]+qnQ(Δm-1yn)+rnQ(yτn)=0,n≥n0, wheremis even andQ(s)=sα-2s,α>1is a fixed real number. Our main results are obtained via employing the generalized Riccati transformation. We provide two examples to illustrate the effectiveness of the proposed results.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2014/791631.pdf

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