Asymptotic stability of linear difference equations of advanced type
Necessary and sufficient conditions are obtained for the asymptotic stability of difference equations of advanced type of the form x(n)-ax(n+1)+bx(n+k)=0, n=0, 1,.. where a and b are arbitrary real numbers and k>1. For a=1, we establish an analogue of a result by Levin and May.
asymptotic stability difference equations advanced type