Qualitative analysis for two fractional difference equations

Nonlinear engineering: Modeling and application

article

Mohammed B. Almatrafi¹  Marwa M. Alzubaidi² 

[1] Department of Mathematics, Faculty of Science, Taibah University;Department of Mathematics, College of Duba, University of Tabuk

关键词: attractivity;    boundedness;    difference equations;    equilibrium;    periodicity;    stability;   

DOI  :  10.1515/nleng-2020-0014

来源: De Gruyter

【 摘 要 】

Some difference equations are generally studied by investigating their long behaviours rather than their exact solutions. The proposed equations cannot be solved analytically. Hence, this article discusses the main qualitative behaviours of two rational difference equations. Some appropriate hypotheses are examined and given to show the local and global attractivity. Special cases from the considered equations are solved analytically. The periodicity is also proved in this work. We also illustrate the achieved results in some 2D figures.

【 授权许可】

Unknown