THRESHOLD BEHAVIOR AND PROPAGATION FOR NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS MOTIVATED BY MODELING MYELINATED AXONS.

Jonathan Bell, Chris Cosner

Research output: Contribution to journalArticle

112 Scopus citations

Abstract

Using a comparison theorem technique, the authors study the long time behavior of certain classes of nonlinear difference-differential systems. Zero is a solution for these systems. They are concerned with conditions forcing nonconvergence to zero of solutions as time approaches infinity; that is, they obtain threshold properties of the systems. The study was motivated by consideration of models for myelinated nerve axons.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalQuarterly of Applied Mathematics
Volume42
Issue number1
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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