Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient

In this paper we are concerned with the oscillation of solutions of a certain higher order linear neutral type difference equation with an oscillating coefficient. We obtain some sufficient criteria for oscillatory behaviour. In particular, the results are new even when n = 2 and there are few resul...

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Bibliographic Details
Published in:Applied mathematics letters 2009-04, Vol.22 (4), p.590-594
Main Authors: Bolat, Yaşar, Akin, Ömer, Yildirim, Huseyin
Format: Article
Language:English
Subjects:
Difference and functional equations, recurrence relations
Difference equation
Exact sciences and technology
Finite differences and functional equations
Higher order difference equation
Mathematical analysis
Mathematics
Neutral difference equation
Numerical analysis
Numerical analysis. Scientific computation
Oscillating coefficient
Oscillatory
Sciences and techniques of general use
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Summary:In this paper we are concerned with the oscillation of solutions of a certain higher order linear neutral type difference equation with an oscillating coefficient. We obtain some sufficient criteria for oscillatory behaviour. In particular, the results are new even when n = 2 and there are few results in the case of p is an oscillatory function.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2008.06.036