A nonlinear Mercerian theorem

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Abstract

We show that convergence of x(t) as t --> infinity may be deduced from the limiting behavior of certain functions involving x(t) and its Cesaro averages. Dynamical systems methods are used to derive this "Mercerian-type" result. (C) 1999 Academic Press.

Original languageEnglish
Pages (from-to)440-448
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume239
Publication statusPublished - 15 Nov 1999

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