Oscillation Criteria of Third Order Nonlinear Neutral Difference Equations
Authors :
G.Ayyappan
Author Address :
Department of Mathematics, Periyar University College of Arts and Science, Mettur Dam-636401, Salem Dt., Tamilnadu, India.
Abstract :
In this paper we consider the third order nonlinear neutral difference equation of the form
$$ Delta (r_n(Delta^2(x_npm p_n x_{sigma(n)}))^alpha)+f(n,~x_{ au(n)})=0, $$
we establish some sufficient conditions which ensure that every solution of this equation are either oscillatory or converges to zero. Examples are provided to illustrate the main results.
Keywords :
Third order, oscillation, neutral difference equations.
DOI :
Article Info :
Received : November 25, 2014; Accepted : March 23, 2015.