Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type-Reference-Cited by-同舟云学术

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

Published:2018-07-09 Issue: Volume:2018 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Migda Janusz¹,Migda Małgorzata²^ORCID,Nockowska-Rosiak Magdalena³

Affiliation:

1. Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

2. Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

3. Institute of Mathematics, Lodz University of Technology, Ul. Wólczańska 215, 90-924 Łódź, Poland

Abstract

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.

Funder

Ministerstwo Nauki i Szkolnictwa Wyzszego

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2018/2368694.pdf

Reference28 articles.

1. The asymptotic behavior of the solutions of a Volterra difference equation

2. Asymptotic behavior of Volterra difference equations

3. Asymptotic behavior of solutions of discrete Volterra equations