On a class of difference equations with interlacing indices

Abstract

Some results on the long-term behavior of solutions to a class of difference equations,which includes numerous nonlinear difference equations of various orders thatattracted some attention in the last 15 years, are presented. We also present a naturalconnection among these difference equations, compare some results on theequations with some other ones in the literature, and give a list of a considerablenumber of difference equations which can be treated in a similar waySome results on the long-term behavior of solutions to a class of difference equations,which includes numerous nonlinear difference equations of various orders thatattracted some attention in the last 15 years, are presented. We also present a naturalconnection among these difference equations, compare some results on theequations with some other ones in the literature, and give a list of a considerablenumber of difference equations which can be treated in a similar way