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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
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. https://doi.org/10.3390/sym11121501
AMA Style
Reddy PVM, Manuel MMS, Kılıçman A. Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay. Symmetry. 2019; 11(12):1501. https://doi.org/10.3390/sym11121501
Chicago/Turabian StyleReddy, P. V.M.; Manuel, M. M.S.; Kılıçman, Adem. 2019. "Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay" Symmetry 11, no. 12: 1501. https://doi.org/10.3390/sym11121501
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