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

Jonathan Bell; Chris Cosner

doi:10.1090/qam/736501

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

Jonathan Bell, Chris Cosner

Research output: Contribution to journal › Article › peer-review

118 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 language	English (US)
Pages (from-to)	1-14
Number of pages	14
Journal	Quarterly of Applied Mathematics
Volume	42
Issue number	1
DOIs	https://doi.org/10.1090/qam/736501
State	Published - 1984
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1090/qam/736501

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

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

Abstract

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