On the asymptotic behavior of solutions of linear difference equations

Jerzy Popenda, Ewa Schmeidel

Type: Article

Publication Date: 1994-01-01

Citations: 7

DOI: https://doi.org/10.5565/publmat_38194_01

Abstract

In the paper sufficient conditions for the difference equationto have a solution which tends to a constant, are given .Applying these conditions, an asymptotic formula far a solution of an m-th order equation is presented .In this paper we give a sufficient condition for any linear differenc e equation which can be treated as a first order equation with advanced arguments to possess solutions which tend to arbitrary real constants .Using this theorem we shall study a linear m -th order difference equatio n and obtain a solution with a particular asymptotic behaviour .The main

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+ PDF Chat	Asymptotic behavior of solutions of difference equations in Banach spaces	2000	Cristóbal González Antonio Jiménez-Melado
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+	Set-contractive mappings and difference equations in Banach spaces	2003	Cristóbal González Antonio Jiménez-Melado
+ PDF Chat	Asymptotic behavior of the oscillatory solutions of first order neutral delay difference equations	2017	A. Murugesan K. Venkataramanan
+	Bounded solutions of nonlinear difference equations with advanced arguments	2003	Lolimar Díaz R. Naulin
+	Investigation of Convection Flows in an Electromagnetic Field	2004	L. Stupelis
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