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 |
| State | Published - Apr 1984 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Applied Mathematics
Cite this
THRESHOLD BEHAVIOR AND PROPAGATION FOR NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS MOTIVATED BY MODELING MYELINATED AXONS. / Bell, Jonathan; Cosner, George.
In: Quarterly of Applied Mathematics, Vol. 42, No. 1, 04.1984, p. 1-14.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - THRESHOLD BEHAVIOR AND PROPAGATION FOR NONLINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS MOTIVATED BY MODELING MYELINATED AXONS.
AU - Bell, Jonathan
AU - Cosner, George
PY - 1984/4
Y1 - 1984/4
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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0021408619&partnerID=8YFLogxK
M3 - Article
VL - 42
SP - 1
EP - 14
JO - Quarterly of Applied Mathematics
JF - Quarterly of Applied Mathematics
SN - 0033-569X
IS - 1
ER -