Travelling wave front solutions of a differential-difference equation arising in the modelling of myelinated nerve axon. (English) Zbl 0574.92012
Ordinary and partial differential equations, Proc. 8th Conf., Dundee/Scotl. 1984, Lect. Notes Math. 1151, 77-89 (1985).
[For the entire collection see Zbl 0564.00005.]
The model of myelinated nerve is an ordinary differential-difference equation with both advanced and retarded arguments. The Cauchy problem for this equation is considered and the existence and uniqueness of a travelling wave front solution is proved.
The model of myelinated nerve is an ordinary differential-difference equation with both advanced and retarded arguments. The Cauchy problem for this equation is considered and the existence and uniqueness of a travelling wave front solution is proved.
Reviewer: T.V.Kostova-Vassilevska
MSC:
| 92Cxx | Physiological, cellular and medical topics |
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
| 34A40 | Differential inequalities involving functions of a single real variable |
