In most databases you can set up a search as a search alert, and you will be notified when new records that match your search are added to the database.
Before you can create a search alert, you usually need to have a personal account/folder within that database or platform. Informit is a notable exception to this: you can create alerts by entering your email address.
You can also set up Journal alerts, also known as TOC (Table of Contents) Alerts: these are a special category of search alert. A TOC Alert will notify you when records or content from a new issue of a journal are added to the database.