A note on the asymptotic properties of some nonautonomous matrix difference equations

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2 Scopus citations

Abstract

Let A > 0 be an irreducible and primitive k × k matrix. We investigate the asymptotic properties of a system of difference equations of the form y(t + 1) = [A + B(t)]y(t), where B(t) is an arbitrary k × k matrix. We characterize conditions on A and B(t) such that the normalized solution is asymptotically stabilized in the positive cone.

Original languageEnglish
Title of host publicationCommunications in Difference Equations
Subtitle of host publicationProceedings of the Fourth International Conference on Difference Equations
PublisherCRC Press
Pages189-201
Number of pages13
ISBN (Electronic)9781482283334
ISBN (Print)9789056996888
StatePublished - Jan 1 2000

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