Asymptotic behavior of solutions of discrete Volterra equations

We consider the nonlinear discrete Volterra equations of non-convolution type \[\Delta^m x_n=b_n+\sum\limits_{i=1}^{n}K(n,i)f\left(i,x_i\right), \quad n\geq 1.\] We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior, especially asymptotically polynomial...

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Bibliographic Details
Main Authors: Janusz Migda, Małgorzata Migda
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2016-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol36/2/art/opuscula_math_3615.pdf