More and more integration systems use ontologies to solve the problem of semantic heterogeneities between autonomous databases. To automate the integration process, a number of these systems suppose the existence of a shared domain ontology a priori referenced by the local ontologies embedded in the various sources. When the shared ontology evolves over the time, the evolution may concern (i) the ontology level, (2) the local schema level, and/or (3) the contents of sources. Since sources are autonomous and may evolve independently, managing the evolution of the integrated system turns to an asynchronous versioning problem. In this paper, we propose an approach and a model to deal with this problem in the context of a materialized integration system. To manage the changes of contents and schemas of sources, we adapt the existing solutions proposed in traditional databases. To support ontology changes, we propose the principle of ontological continuity. It supposes that an evolution of ...