Title
Asymptotic Solutions And Error Estimates For Linear Systems Of Difference And Differential Equations
Document Type
Article
Publication Date
1-1-2004
Publication Title
Journal Of Mathematical Analysis And Applications
Department
Mathematics and Computer Science
Abstract
Classical results concerning the asymptotic behavior solutions of systems of linear differential or difference equations lead to formulas containing factors that are asymptotically constant, i.e., k+o(1) as t tends to infinity. Here we are interested in more precise information about the o(1) terms, specifically how they depend precisely on certain perturbation terms in the equation. Results along these lines were given by Gel'fond and Kubenskaya for scalar difference equations and we will both extend and generalize one of them as well as provide some corresponding results for differential equations.
Volume
290
Issue
1
pp.
343-362
ISSN
0022-247X
Provider Link
Citation
Bodine, Sigrun, and D. A. Lutz. 2004. "Asymptotic solutions and error estimates for linear systems of difference and differential equations." Journal Of Mathematical Analysis And Applications 290(1): 343-362.