Asymptotic behavior of recursions via fixed point theory
Authors:
Kristine Ey
Affiliation:
a Institute of Biomathematics and Biometry, GSF - National Research Center for Environment and Health, Ingolstädter Landstr. 1, D-85764 Neuherberg, Germany b School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Abstract:
In this paper we provide a formulation of initial value problems for (explicit and implicit) difference equations in terms of abstract equations in sequence spaces. They will be solved using appropriate fixed point theorems and we obtain quantitative attractivity properties.
