Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay
1
Department of Science and Humanities, R. M. D. Engineering College, Kavaraipettai 601206, Tamil Nadu, India
2
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1501; https://doi.org/10.3390/sym11121501
Received: 19 November 2019 / Revised: 7 December 2019 / Accepted: 9 December 2019 / Published: 11 December 2019
(This article belongs to the Special Issue Differential and Difference Equations and Symmetry)
This paper aims to investigate the criteria of behavior of a certain type of third order neutral generalized difference equations with distributed delay. With the technique of generalized Riccati transformation and Philos-type method, we obtain criteria to ensure convergence and oscillatory solutions and suitable examples are provided to illustrate the main results.
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Keywords:
generalized difference operator; oscillation; non-oscillation; converge to zero; distributed delay; Riccati transformation
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MDPI and ACS Style
Reddy, P.V.M.; Manuel, M.M.S.; Kılıçman, A. Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay. Symmetry 2019, 11, 1501.
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