Name: Oscillation for Certain Third Order Functional Delay Difference Equation
Keywords: Oscillation theory for difference equations, nonoscillation, delay, Riccati transformation, difference equation, oscillation

Oscillation for certain third order functional delay difference equation

descriptionPublicationkeyboard_double_arrow_right Article 14 Jun 2021Publisher:Informatics Publishing LimitedJournal:The Journal of the Indian Mathematical Society (issn: 0019-5839, eissn: 2455-6475,

Authors: Jaffer, I. Mohammed Ali; Shanmugapriya, R.;

doi: 10.18311/jims/2021/27837

Oscillation for Certain Third Order Functional Delay Difference Equation

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Abstract

This paper is concerned with the third order functional delay difference equation of the form Î”(CnÎ”(anÎ”xn)) + mÎ£i=1pniÎ”xÏƒi(n-r) + mÎ£i=1qnif (xÏƒi(n-r)) = 0. We obtain some new oscillation criteria by using Riccati transformation technique. Examples are given to illustrate the results.

Keywords

Oscillation theory for difference equations, nonoscillation, delay, Riccati transformation, difference equation, oscillation

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