Well posedness and stationary solutions of a neural field equation with synaptic plasticity

Juan Cordero Ceballos, Alejandro Jimenez Rodriguez

We consider the initial value problem associated to the neural field equation of Amari type with plasticity \[ u_t(x,t)=-u(x,t)+\int_Ωw(x,y)[1+γg( u(x,t) - u(y,t) )] f(u(y,t))\; dy…