Oscillation of second order nonlinear difference equations with super-linear neutral term

Govindasamy Ayyappan; Gunasekaran Nithyakala

doi:10.26637/MJM0703/0001

Abstract

In this paper, the authors establish some new conditions for the oscillation of second order nonlinear difference equation of the form
$$
\Delta\left(a_n \Delta\left(y_n+p_n y_{n-k}^\alpha\right)\right)+q_n y_{n+1-\ell}^\beta=0,
$$
where $\alpha>1$ and $\beta$ 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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Govindasamy Ayyappan Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti -636905, Tamilnadu, India
Gunasekaran Nithyakala Department of Mathematics, Periyar University, Salem-636011, Tamilnadu, India.

Pages: 366-370
Date Published: 01-07-2019
Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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