Difference Equations and Lettenmeyer's Theorem

Many classical results for ordinary differential equations have counterparts in the theory of difference equations, although, in general, the technical details for the difference versions are more involved than the corresponding ones for differential equations. This note surveys material related to...

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Bibliographic Details
Published in:Journal of difference equations and applications 2002-01, Vol.8 (11), p.1053-1060
Main Authors: Fitzpatrick, W.J., Grimm, L.J., Hall, L.M.
Format: Article
Language:English
Subjects:
Banach Fixed Point Theorem
Factorial Series
Lettenmeyer's Theorem
Linear Difference Equation
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Summary:Many classical results for ordinary differential equations have counterparts in the theory of difference equations, although, in general, the technical details for the difference versions are more involved than the corresponding ones for differential equations. This note surveys material related to a difference analogue of Lettenmeyer's theorem. The projection method of Harris et al. , developed to treat certain questions in the analytic theory of ordinary differential equations is used to obtain counterparts for linear difference equations as well as extensions to certain nonlinear differential and difference equations.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190290015308