Special Session 99: Asymptotic expansion for nonoscillatory solutions of differential and difference equations
Contents
There exist several approaches to decide, whether or not some linear difference equation with constant coefficients is asymptotically stable. It turns out that for some special cases (linear difference equations with a few nonzero terms) it is possible to formulate some efficient asymptotic stability criteria. These special cases of difference equations are of use in numerical analysis for delay differential equations. In this talk we give a brief survey of criteria for asymptotic stability of linear difference equations and we discuss relations between them. Then we present some of recent results for linear difference equations with a few nonzero terms and we point out their advantages.