Oscillation criteria for third order neutral type advanced difference equation
Authors :
A. Murugesan 1 * and P. Selvakumar 2
Author Address :
1 Department of Mathematics, Government Arts College (Autonomous), Salem-636007, Tamil Nadu, India.
2 Department of Mathematics, Christ Institute of Technology (Formely Dr. S.J.S. Paul Memorial College of Engineering and Technology), Puducherry-605502, India.
*Corresponding author.
Abstract :
In this paper, we establish the oscillatory criteria for the third-order neutral type difference equation of the form $$\Delta(a(n)(\Delta^{2}(x(n)+p(n)x(n-k)))^{\alpha})+q(n)f(x(n-l))=0.$$ We derive new oscillation condition that really take into account the advanced arguments.
Keywords :
Oscillation, third order neutral difference equations.
DOI :
Article Info :
Received : December 17, 2019; Accepted : April 22, 2020.
