Wikipedia
Multi-user software is software that allows access by multiple users of a computer. Time-sharing systems are multi-user systems. Most batch processing systems for mainframe computers may also be considered "multi-user", to avoid leaving the CPU idle while it waits for I/O operations to complete. However, the term " multitasking" is more common in this context.
An example is a Unix server where multiple remote users have access (such as via Secure Shell) to the Unix shell prompt at the same time. Another example uses multiple X Window sessions spread across multiple terminals powered by a single machine - this is an example of the use of thin client. Similar functions were also available under MP/M, Concurrent DOS, Multiuser DOS and FlexOS.
Some multi-user operating systems such as Windows versions from the Windows NT family support simultaneous access by multiple users (for example, via Remote Desktop Connection) as well as the ability for a user to disconnect from a local session while leaving processes running (doing work on their behalf) while another user logs into and uses the system. The operating system provides isolation of each user's processes from other users, while enabling them to execute concurrently.
Management systems are implicitly designed to be used by multiple users, typically one system administrator or more and an end-user community.
The complementary term, single-user, is most commonly used when talking about an operating system being usable only by one person at a time, or in reference to a single-user software license agreement. Multi-user operating systems such as Unix sometimes have a single user mode or runlevel available for emergency maintenance.
Usage examples of "multi-user".
The high-def masks, when not in use, simply hung on a small hook on the side of a TP's phone-console, admittedly looking maybe a bit surreal and discomfiting when detached and hanging there empty and wrinkled, and sometimes there were potentially awkward mistaken-identity snafus involving multi-user family or company phones and the hurried selection and attachment of the wrong mask taken from some long row of empty hanging masks but all in all the masks seemed initially like a viable industry response to the vanity,-stress,-and-Nixonian-facial-image problem.