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

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 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 - Jan 1 1984
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1090/qam/736501

Fingerprint Dive into the research topics of 'THRESHOLD BEHAVIOR AND PROPAGATION FOR NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS MOTIVATED BY MODELING MYELINATED AXONS.'. Together they form a unique fingerprint.

Cite this

Bell, J., & Cosner, C. (1984). THRESHOLD BEHAVIOR AND PROPAGATION FOR NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS MOTIVATED BY MODELING MYELINATED AXONS. Quarterly of Applied Mathematics, 42(1), 1-14. https://doi.org/10.1090/qam/736501

@article{44e9b15ce30c4b49a2a23a75fd3e94a7,

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.",

author = "Jonathan Bell and Chris Cosner",

year = "1984",

month = jan,

day = "1",

doi = "10.1090/qam/736501",

language = "English (US)",

volume = "42",

pages = "1--14",

journal = "Quarterly of Applied Mathematics",

issn = "0033-569X",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - THRESHOLD BEHAVIOR AND PROPAGATION FOR NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS MOTIVATED BY MODELING MYELINATED AXONS.

AU - Bell, Jonathan

AU - Cosner, Chris

PY - 1984/1/1

Y1 - 1984/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0021408619&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021408619&partnerID=8YFLogxK

U2 - 10.1090/qam/736501

DO - 10.1090/qam/736501

M3 - Article

AN - SCOPUS:0021408619

VL - 42

SP - 1

EP - 14

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

SN - 0033-569X

IS - 1

ER -