Preprint Article Version 1 This version is not peer-reviewed

Oscillation Criteria for Third Order Neutral Generalized Difference Equations with Distributed Delay

Version 1 : Received: 19 November 2019 / Approved: 19 November 2019 / Online: 19 November 2019 (03:57:19 CET)

A peer-reviewed article of this Preprint also exists.

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. 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.

Journal reference: Symmetry 2019, 11, 1501
DOI: 10.3390/sym11121501

Abstract

This paper aims to investigate the criteria of behaviour of certain type of third order neutral generalized difference equations with distributed delay. With the technique of generalized Riccati transformation and Philos-type method, some oscillation criteria are obtained to ensure convergence and oscillatory solution of suitable example is listed to illustrate the main result.

Subject Areas

generalized difference operator; oscillation; non-oscillation; converge to zero; distributed delay; riccati transformation

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