I've got an old 386 laptop - specifically an OmniBook 300 - and I'm a little suspicious of the RAM. It's exhibited some very odd symptoms, such as memory-related crashes and boot failures, so I'd like to give it a thorough testing. It has 2 MB of RAM built in, plus an additional 6 MB on a Kingston memory module that looks a little bit like a small compact flash card that's just a bare PCB (3 DRAM chips and some capacitors).
The computer boots from ROM, so I don't have the option of using any kind of testing boot disk. It would have to be something that can be run from MS-DOS 5.0.
What software exists for thoroughly testing memory on a system like this?