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

AIMS Mathematics

article

Mohamed Altanji¹  Gokula Nanda Chhatria²  Shyam Sundar Santra³  Andrea Scapellato⁵ 

[1] Department of Mathematics, College of Science, King Khalid University;Department of Mathematics, Sambalpur University;Department of Mathematics, JIS College of Engineering;Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies;Department of Mathematics and Computer Science, University of Catania

关键词: difference equation;    oscillation;    neutral;    fixed point theorem;    sublinear;    superlinear;   

DOI  :  10.3934/math.2022973

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY