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We deal with the periodic boundary value problem for a second-order nonlinear ODE which includes the case of the Nagumo-type equation vxx−gv+n(x)F(v)=0, previously considered by Grindrod and Sleeman [P. Grindrod, B.D. Sleeman, A model of a myelinated nerve axon: threshold behaviour and propagation, J. Math. Biol. 23 (1985) 119–135. [6]] and by Chen and Bell [P.-L. Chen, J. Bell, Spine-density dependence...
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