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)|
|Number of pages||14|
|Journal||Quarterly of Applied Mathematics|
|State||Published - Apr 1984|
ASJC Scopus subject areas
- Applied Mathematics