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Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons

Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons

Using a comparison theorem technique, we study the long time behavior of certain classes of nonlinear difference-differential systems. Zero is a solution for these systems. We are concerned in this paper with conditions forcing nonconvergence to zero of solutions as time approaches infinity; that is, we obtain threshold properties of …