2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56781The inverse problem of finding the coefficient $\g$ in the equation $\dot{u}=A(t)u+\g(t)u+f(t)$ from the extra data of the form $ϕ(t)=u(t),w$ is studied. The problem is reduced to a Volterra equation of the second kind. Applications are given to parabolic equations with second order differential operators.Mathematical Physics35R30, 81U40; Secondary: 47A40An inverse problem for an abstract evolution equationtext