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Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type
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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.
Title: Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type
Description:
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.
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