Oscillation of second order nonlinear difference equations with super-linear neutral term
Authors :
Govindasamy Ayyappan 1 * and Gunasekaran Nithyakala 2
Author Address :
1 Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti -636905, Tamilnadu, India.
2 Department of Mathematics, Periyar University, Salem-636011, Tamilnadu, India.
*Corresponding author.
Abstract :
In this paper, the authors establish some new conditions for the oscillation of second order nonlinear difference equation of the form $$Deltaleft(a_n Delta left(y_n+p_n y_{n-k}^alpha ight) ight)+q_n y_{n+1-ell}^eta=0,$$ where $alpha>1$ and $eta$ are ratio of odd positive integers. Examples are provided to illustrate the importance of the main results.
Keywords :
Superlinear neutral term, nonlinear difference equation, oscillation.
DOI :
Article Info :
Received : April 06, 2019; Accepted : May 29, 2019.
