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

Jonathan Bell, George Cosner

Research output: Contribution to journalArticle

107 Citations (Scopus)

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
StatePublished - Apr 1984
Externally publishedYes

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Propagation
Zero
Comparison Theorem
Long-time Behavior
Nerve
Modeling
Differential System
Forcing
Infinity
Axons
Model
Class

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

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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.",
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