Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term

Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term

In this paper, some new results are obtained for the even order neutral delay difference equation ΔanΔm-1xn+pnxn-kα+qnxn-lβ=0, where m≥2 is an even integer, which ensure that all solutions of the studied equation are oscillatory. Our results extend, include, and correct some of the existing results....

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Veröffentlicht in:Abstract and applied analysis 2018, Vol.2018 (2018), p.1-6
Hauptverfasser: Ayyappan, Govindasamy, Nithyakala, Gunasekaran
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Delay
Delay equations
Difference equations
Differential equations
Mathematical research
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Zusammenfassung:In this paper, some new results are obtained for the even order neutral delay difference equation ΔanΔm-1xn+pnxn-kα+qnxn-lβ=0, where m≥2 is an even integer, which ensure that all solutions of the studied equation are oscillatory. Our results extend, include, and correct some of the existing results. Examples are provided to illustrate the importance of the main results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2018/2590158