Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

الملخص EN

We consider the discrete Volterra type equation of the form Δ(rnΔxn)=bn+∑k=1nK(n,k)f(xk).

We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior.

Moreover, we study the asymptotic behavior of solutions.

We use o(ns), for given nonpositive real s, as a measure of approximation.