Oscillation criteria for third order neutral type advanced difference equation

A. Murugesan; P. Selvakumar

doi:10.26637/MJM0803/0009

Abstract

In this paper, we establish the oscillatory criteria for the third-order neutral type difference equation of the form
$$
\Delta\left(a(n)\left(\Delta^2(x(n)+p(n) x(n-k))\right)^\alpha\right)+q(n) f(x(n-l))=0 .
$$
We derive new oscillation condition that really take into account the advanced arguments.

Keywords:

Oscillation, third order neutral difference equations

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

A. Murugesan Department of Mathematics, Government Arts College (Autonomous), Salem-636007, Tamil Nadu, India.
P. Selvakumar Department of Mathematics, Christ Institute of Technology (Formely Dr. S.J.S. Paul Memorial College of Engineering and Technology), Puducherry-605502, India.

Pages: 787-790
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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