Oscillation of Fourth-Order Nonlinear Homogeneous Neutral Difference Equation

Author:

Sumitha G.1ORCID,Kodeeswaran R.1ORCID,Noeiaghdam S.23ORCID,Balamuralitharan S.4ORCID,Govindan V.5ORCID

Affiliation:

1. Department of Mathematics, Kandaswami Kandar’s College, Paramathi Velur – 638 182, Namakkal, Tamilnadu, India

2. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk 664074, Russia

3. Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, Chelyabinsk 454080, Russia

4. Department of Mathematics, Bharath Institute of Higher Education and Research, Selaiyur, Chennai 600073, Tamilnadu, India

5. Department of Mathematics, DMI St John The Baptist University Central Africa, Mangochi-409, Malawi

Abstract

In this paper, we establish the solution of the fourth-order nonlinear homogeneous neutral functional difference equation. Moreover, we study the new oscillation criteria have been established which generalize some of the existing results of the fourth-order nonlinear homogeneous neutral functional difference equation in the literature. Likewise, a few models are given to represent the significance of the primary outcomes.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Reference13 articles.

1. Dynamic Equations on Time Scales

2. Advances in Dynamic Equations on Time Scales

3. Oscillation of fourth order nonlinear difference equations;R. P. Agarwal;Int. J. Difference Equ,2007

4. Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations

5. Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations;J. R. Graef;Fasc. Math. No,2001

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