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Asymptotic behavior of solutions of discrete Volterra equations

Migda J, Migda M.

Opuscula Mathematica

2016

Vol. 36, no. 2

265--278

We consider the nonlinear discrete Volterra equations of non-convolution type [formula] We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior, especially asymptotically polynomial and asymptotically periodic solutions. We use o(ns), for a given nonpositive real s, as a measure of approximation. We also give conditions under which all solutions are asymptotically polynomial.