2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132018Let $Ω$ be an operator semigroup with generator $A$ in a sequentially complete locally convex topological vector space $E$. For a semigroup with generator $A+D$, where $D$ is a bounded linear operator on $E$, two integral equations are derived. A theorem on continuous dependence of a semigroup on its generator is proved. An application to random walk on $\mathbb{Z}$ is given.6 pages, no figuresFunctional Analysis47D06 (Primary) 34G10, 34K06 (Secondary)text