Paper outlines a fixed-point approach to Volterra integral
equations considered in discretized form. Attention is being paid
to the existence, uniqueness and attractivity properties of their
periodic solutions. Several types of equations are investigated.
In convolutive case the Fredholm-like alternative is formulated
and proved. Assumptions of certain ten years old Elaydi's results
are weakened and under certain conditions, the correspondence
between the boundedness of initial functions and an asymptotic
periodicity of solutions is established. The feasibility of
transition to non-linear case (involving ``ordinary" implicit
difference equations as an interesting special case) is finally
emphasized.



MR2039498 Baker, Christopher T. H. ; Song, Yihong . Periodic
solutions of discrete Volterra equations. Math. Comput. Simulation
64 (2004), no. 5, 521--542.