Oscillation of Third-Order Nonlinear Generalized Difference Equation with Multiple Neutral Terms

Author:

Sumathy M.1ORCID,Venkata Mohan Reddy P.1,Maria Susai Manuel M.1,Syed Ali M.2ORCID

Affiliation:

1. Department of Science and Humanities, R M D Engineering College, Kavaraipettai 601 206, India

2. Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India

Abstract

In this paper, the authors discuss the oscillatory behaviour of a third order generalized difference equation with multiple neutral terms. We have also applied Riccati transformation and Philo type technique to derive new oscillation criteria for the difference equation in question. Suitable examples are provided to validate our main results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference22 articles.

1. Difference Equations and Inequalities

2. Discrete Oscillation Theory

3. Oscillation of generalized second order sublinear neutral delay difference equations;V. Chandrasekar;Mathematical Sciences International Research Journal,2014

4. The qualitative property of numerical solution of third order sublinear neutral-delay generalized difference equation;P. Venkata Mohan Reddy;An International Journal Applied Mathematics and Information Sciences,2020

5. Oscillatory criteria for second-order quasilinear neutral delay difference equations

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