Oscillation theorems for second order neutral difference equations with “Maxima”
Authors :
S.Rajan 1 * and K.Malathi 2
Author Address :
1 Department of Mathematics, Erode Arts and Science College, Erode - 638 009, Tamil Nadu, India.
2 Department of Mathematics, Kongu Arts and Science College, Erode - 638 107, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this paper we establish some sufficient conditions for the
oscillation of all solutions of the equation
$$ Delta(r_n Delta(x_n +p_n x_{n-k} ))+q_n max_{[n-ell, n]}x_{s}^alpha = 0, nin N_0$$
which improve and extend the known results. Examples are provided to illustrate the main results.
Keywords :
Second order, oscillation, neutral difference equation with ``maxima’’.
DOI :
Article Info :
Received : November 12, 2017; Accepted : February 18, 2018.
