The Qualitative Analysis of Some Difference Equations Using Homogeneous Functions

Authors : Mehmet Gümüş, Şeyma Irmak Eğilmez

Pages : 218-231

Doi:10.33401/fujma.1336964

View : 78 | Download : 97

Publication Date : 2023-12-31

Article Type : Research

Abstract :This article deals with the qualitative analysis of a general class of difference equations. That is, we examine the periodicity nature and the stability character of some non-linear second-order difference equations. Homogeneous functions are used while examining the character of the solutions of introduced difference equations. Moreover, a new technique available in the literature is used to examine the periodic solutions of these equations.
Keywords : Two periodic solutions, three periodic solutions, qualitative analysis, locally asymptotic stable.