Oscillation Criteria for a Class of Nonlinear Neutral Generalized a−Difference Equations

Authors

Adem Kılıcman, Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow
P. Venkata Mohan Reddy, Department of Science and Humanities, R. M. D. Engineering College, Kavaraipettai - 601 206, Tamil Nadu, S. IndiaFollow
M. Maria Susai Manuel, Department of Science and Humanities, R. M. D. Engineering College, Kavaraipettai - 601 206, Tamil Nadu, S. IndiaFollow

Author Country (or Countries)

Malaysia

Abstract

In this paper, we study the oscillation of the second-order nonlinear neutral generalized a−difference equation of the form Da(ℓ)(a(n)Da(ℓ)(x(n)+d p(n)x(n−t ℓ)))+ f (n, x(n−s ℓ))−g(n, x(n−rℓ)) = 0. We obtain the oscillation criteria and provide some examples to illustrate the results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120415

Recommended Citation

Kılıcman, Adem; Venkata Mohan Reddy, P.; and Maria Susai Manuel, M. (2018) "Oscillation Criteria for a Class of Nonlinear Neutral Generalized a−Difference Equations," Applied Mathematics & Information Sciences: Vol. 12: Iss. 4, Article 15.
DOI: http://dx.doi.org/10.18576/amis/120415
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss4/15