On a Max-Type Difference Equation

Well-Defined Solutions of a Three-Dimensional System of Difference Equations

“…that is the sequence ( ) ≥−1 is periodic with period 12 and takes the form 4 , − −1 + (5) , − 0 + (0) , − 1 + (1) , − 2 + (2) , − 3 + (3) , − 4 + (4) , −1 , 0 , … ).…”

“…Difference equations and their systems are related to many real life models in different branches of modern science such as biology, physics, economics, etc, in [1,2]. This is due to the fact that these models are expressed by discrete equations and this explain why difference equations and their systems have attracted the attention of many researchers in recent years in [3][4][5][6]. One of the most popular subject associated with difference equations and their system, especially the non-linear ones, is to examine their solvability and the behavior of their solutions in .…”

On the solutions of a max‐type difference equation system

“…There has been a huge interest in max‐type of nonlinear difference equations or systems in recent years (see, e.g., ,, and the references cited therein). This type of difference equations arises naturally from certain models in automatic control theory (see, e.g., ).…”

“…Moreover, Elsayed and Iričanin extended some result in (regarding Eq. ) by showing every solution of the difference equation Furthermore, one can refer to and the references therein for more similar work.…”

On the periodicity of solutions of max‐type difference equation

“…Also, there has been a considerable interest in studying, the so‐called, max‐type difference equations; see, for example, , and the references cited therein. The max‐type operators arise naturally in certain models in automatic control theory; see .…”