On positive solutions of a reciprocal difference equation with minimum

Boundedness character of a class of difference equations

“…In [15] it was proved that positive solutions to Eq. (2) are eventually periodic, so bounded (an extension of this result can be found in [6]). Hence the max-type equation in (1) is a natural extension of the model in automatic control theory.…”

“…(1) for the case p = 1. For closely related papers in this research area see, for example, [6,7,11,14,16,18,30,32] and the references therein.…”

On a nonlinear generalized max-type difference equation

“…(1). Some results on max-type difference equations can be found, e.g., in [1,4,6,8,9,[13][14][15]22,[24][25][26][27][28][29][30] (see also numerous references therein).…”

Positive solution of second-order multi-point boundary value problems for finite difference equation with a p-Laplacian

“…Many results have been obtained in recent years (see [8][9][10][11][12]). At the same time, for multi-point boundary value problems of nonlinear difference equations, in recent years there also have been some research activities due to the realization that nonlinear difference equations are important in applications (see [1][2][3][4][5][6][7]13]). …”