Some New Oscillation Theorems for Second Order Difference Equations with Mixed Neutral Terms

D. Segher

Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India.

E. Thandapani

Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India.

S. Pinelas *

Department of Exact and Natural Sciences, Academia Militar, Av. Conde Castro Guimaraes, 2720-113 Amadora, Portugal.

*Author to whom correspondence should be addressed.


Abstract

Some new sufficient conditions are established for the oscillation of all solutions of the second order
neutral difference equation of the form

17.png

where 21.png The results obtained here are new and further improve and complement
some known results in the literature. Examples are provided to illustrate the main results.

Keywords: Second order, neutral type difference equation, mixed neutral term, oscillation


How to Cite

Segher, D., E. Thandapani, and S. Pinelas. 2015. “Some New Oscillation Theorems for Second Order Difference Equations With Mixed Neutral Terms”. Journal of Advances in Mathematics and Computer Science 8 (2):121-33. https://doi.org/10.9734/BJMCS/2015/16079.