The Qualitative Analysis of Some Difference Equations Using Homogeneous Functions

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.

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