Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations

In this paper, the authors studied oscillatory behavior of solutions of fourth-order delay difference equation Δc3nΔc2nΔc1nΔun+pnfun−k=0 under the conditions ∑n=n0∞cin<∞, i=1, 2, 3. New oscillation criteria have been obtained which greatly reduce the number of conditions required for the studied...

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Bibliographic Details
Main Authors: Kandasamy Alagesan, Subaramaniyam Jaikumar, Govindasamy Ayyappan
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/1653081
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Summary:In this paper, the authors studied oscillatory behavior of solutions of fourth-order delay difference equation Δc3nΔc2nΔc1nΔun+pnfun−k=0 under the conditions ∑n=n0∞cin<∞, i=1, 2, 3. New oscillation criteria have been obtained which greatly reduce the number of conditions required for the studied equation. Some examples are presented to show the strength and applicability of the main results.
ISSN:1085-3375
1687-0409