MMN-2735
Asymptotic behavior of solutions of second order difference equations with deviating argument
Janusz Migda; Magdalena Nockowska-Rosiak;Abstract
We consider nonlinear second order difference equations with deviating argument
of the form
\[
\D(r_n\D x_n)=a_nf(x_{n+\sigma-1},x_{n+\sigma-2},\dots,x_{n+\sigma-m})+b_n.
\]
We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions.
We use $\o(n^s)$, for a given nonpositive real $s$, as a measure of approximation.
Vol. 19 (2018), No. 2, pp. 1047-1061