Some identification problems for integro-differential operator equations

Alfredo Lorenzi, Alexander Ramm

We consider, in a Hilbert space $H$, the convolution integro-differential equation $u^{\prime \prime }(t)-h\ast Au(t)=f(t)$, $0\le t\le T$, $h\ast v(t)={\int }_0^{t}h(t-s)v(s)ds$, where $A$ is a linear clos…