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
where 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