Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
The authors show that under certain conditions there is a one-to-one correspondence between weighted bounded solutions of a linear nonautonomous Volterra difference system with infinite delay and its perturbed system. Under additional assumptions, this correspondence is elevated to asymptotic equivalence. On the other side, the authors prove the existence of weighted convergent solutions.
linear nonautonomous Volterra difference system with infinite delay
scientific article; zbMATH DE number 1755283
scientific article