"check the availability of" is correct and commonly used in written English.
It is used to indicate that someone should confirm if something is currently able to be used or obtained. Example: "Before planning your trip, be sure to check the availability of flights and hotel rooms."
I used it to find the nearest store and to check the availability of the iPod Touch before driving there.
In the future, the airport may allow customers to check the availability of spaces on the Web and maybe even reserve a spot.
Online, the response to the news has been a collective "Whoa — are those still around?" Blockbuster, founded in 1985 by a computer programmer named David Cook, is often said to have derived its early success from Cook's novel inventory-tracking program, which allowed a store to rate the popularity of its older films and immediately check the availability of new releases.
Every car must send a reservation message to the intersection manager, and it will check the availability of the requested space.
However, in the absence of such messages, SHAM nodes depend on the timeout counters and self-initiated heartbeat messages to check the availability of their neighbors.
On KnowEm's site, brand owners can instantly check the availability of their branded usernames and keywords on more than 330 social media networks (for free).
The city authorities have been checking the availability of bomb shelters in basements and factories.
We checked the availability of stationary, laptops, tablets and smartphones among the students.
A ship primarily checks the availability of the SANET by listening to the neighboring ships' signals.
That also now includes more easily checking the availability of products at nearby stores.
The Aliveness assertion checks the availability of the participants, e.g., the first Aliveness check Aliveness (EP, M) states that when M completes a run of the protocol, apparently with EP, then EP has previously been running the same protocol.
