Spatially localized solutions of the Hammerstein equation with sigmoid type of nonlinearity

Anna Oleynik, Arcady Ponosov, Vadim Kostrykin +1

We study the existence of fixed points to a parameterized Hammertstain operator $\cH_β,$ $\beta \in (0,\infty ],$ with sigmoid type of nonlinearity. The parameter $\beta <\infty$ indicates th…