Open Problems and Conjectures.
numerical analysis, mathematical optimization, difference equations
This article presents information on some open problems and conjectures about some interesting types of difference equations. Solutions to questions are asked. One of the questions posed is when can the boundedness of all solutions of a rational equation be predicted from the characteristic roots of the linearized equation about its equilibrium? It is announced that an amount of $600 will be donated to the International Society of Difference Equations, if complete solutions of the open problems and conjectures presented in this article are provided.