Second order dynamical systems with penalty terms associated to monotone inclusions

Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László

In this paper we investigate in a Hilbert space setting a second order dynamical system of the form $$\ddot{x}(t)+\g(t)\dot{x}(t)+x(t)-J_{λ(t) A}\big(x(t)-λ(t) D(x(t))-λ(t)β(t)B(x(…