On local bifurcations of spatially inhomogeneous solutions for one functional-differential equation

In this work, we study a nonlocal erosion equation, which simulates the process of nanorelief formation. For a periodic boundary-value problem for the partial functional differential equation, we examine local bifurcations in the cases where homogeneous equilibrium states change their stability. We prove that in the problem considered, subcritical bifurcations occur.