Asymptotics of a renewal-like recursion and an integral equation

Ágnes Backhausz, Tamás F. Móri

Type: Article

Publication Date: 2014-01-01

Citations: 3

DOI: https://doi.org/10.2298/aadm140718010b

Abstract

We consider a renewal-like recursion and prove that the solution is polynomially decaying under suitable conditions. We prove similar results for the corresponding integral equation. In both cases coefficients and functions are of more general form than in the classic cases.

Locations

arXiv (Cornell University) - View - PDF
Applicable Analysis and Discrete Mathematics - View - PDF

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+ PDF Chat	Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type	1996	Saber Elaydi Satoru Murakami
+	A random model of publication activity	2013	Ágnes Backhausz Tamás F. Móri
+	Existence of bounded solution of Volterra difference equations via Darbo's fixed-point theorem	2013	Tomasz Gronek Ewa Schmeidel
+	Some conditions for boundedness of solutions of difference volterra equations	2003	V.B. Kolmanovskii Leonid Shaikhet
+	On the asymptotic behaviour of Volterra difference equations	2013	Nguyễn Văn Minh
+	Analytical and Numerical Methods for Volterra Equations.	1987	Hermann Brunner Peter Linz
+	The Calculus of Finite Differences	1934	L. M. Milne-Thomson
+ PDF Chat	On the boundedness of the solutions in nonlinear discrete Volterra difference equations	2012	István Győri Essam Awwad
+	On a recursion formula and some Tauberian theorems	1953	FA Dick de Bruijn P. Erdős
+	On exact convergence rates for solutions of linear systems of Volterra difference equations†	2006	John A. D. Applelby István Győri David W. Reynolds