Oscillation for Certain Third Order Functional Delay Difference Equation

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Authors

  • I. Mohammed Ali Jaffer
     ,IN
  • R. Shanmugapriya
     ,IN

DOI:

https://doi.org/10.18311/jims/2021/27837

Keywords:

Difference equation, Delay, Oscillation, Nonoscillation, Riccati transformation
39A21

Abstract

This paper is concerned with the third order functional delay difference equation of the form Δ(CnΔ(anΔxn)) + mΣi=1pniΔxσi(n-r) + mΣi=1qnif (xσi(n-r)) = 0. We obtain some new oscillation criteria by using Riccati transformation technique. Examples are given to illustrate the results.

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Published

2021-06-14

How to Cite

Mohammed Ali Jaffer, I., & Shanmugapriya, R. (2021). Oscillation for Certain Third Order Functional Delay Difference Equation. The Journal of the Indian Mathematical Society, 88(3-4), 323–333. https://doi.org/10.18311/jims/2021/27837

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 I. Mohammed Ali Jaffer, R. Shanmugapriya

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
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Europe PMC
Received 2021-05-19
Accepted 2021-05-19
Published 2021-06-14

 

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