Oscillation criteria for sublinear and superlinear first-order difference equations of neutral type with several delays-Reference-Cited by-同舟云学术

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

Published:2022 Issue:10 Volume:7 Page:17670-17684
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Altanji Mohamed¹,Chhatria Gokula Nanda²,Santra Shyam Sundar³⁴,Scapellato Andrea⁵

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Mathematics, Sambalpur University, Sambalpur 768019, India

3. Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India

4. Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India

5. Department of Mathematics and Computer Science, University of Catania, Catania 95125, Italy

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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