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Research Article | Open Access

Oscillation criteria for sublinear and superlinear first-order difference equations of neutral type with several delays

Mohamed Altanji1, Gokula Nanda Chhatria2, Shyam Sundar Santra3,4, Andrea Scapellato5( )
Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Department of Mathematics, Sambalpur University, Sambalpur 768019, India
Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India
Department of Mathematics and Computer Science, University of Catania, Catania 95125, Italy
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Abstract

The purpose of this paper is to investigate the oscillatory behaviour of a class of first-order sublinear and superlinear neutral difference equations. Some conditions are established by applying Banach's Contraction mapping principle, Knaster-Tarski fixed point theorem and using several inequalities. We provide some examples to illustrate the outreach of the main results.

Keywords

difference equationoscillationneutralfixed point theoremsublinearsuperlinear
CLC number: 34C10, 39A10, 39A12, 39A21

References

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 17670-17684
DOI: 10.3934/math.2022973

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Cite this article:
Altanji M, Chhatria GN, Santra SS, et al. Oscillation criteria for sublinear and superlinear first-order difference equations of neutral type with several delays. AIMS Mathematics, 2022, 7(10): 17670-17684. https://doi.org/10.3934/math.2022973

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Received: 02 February 2022
Revised: 17 June 2022
Accepted: 18 June 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)