A difference equation is used to model a problem that features a discrete time change. For example, to model the remaining debt of a loan which has a certain percentage of interest per month, we use ...

1. Introduction Amleh, Grove and Ladas [1] studied the global stability boundedness character and periodic nature of positive solutions of difference equation (1) where and initial conditions and are ...

Difference equations, serving as the discrete analogue to differential equations, have long been a linchpin in the study of dynamic systems. These equations define sequences recursively, and their ...

By taking difference twice, we find that is a solution of Equation (1) for and that for and. Now, we put It is easy to see that is a solution of equation (8) for and is of type. The proof is complete.

The Loewner differential equation, introduced by Charles Loewner in 1923, describes the time evolution of a family of conformal (angle-preserving) functions defined on subsets of the complex plane.