Problem with 1989 300E, when restarting (engine hot-warm) engine fires up as normal with no problem, and quits within a second or two as if no more fuel.

Try restarting again and the same thing happens. However, wait an hour or more and will start and run OK. Starting when cold, and it fires up and runs OK.

-So, not a problem with starting, engine fires up OK.

-Keeps on running after startup, if cold.

-Quits after startup, if warm.

-Let it cool and it fires up and runs.

Will replace the fuel filter, check connections and lines.

Anyone have experience with this problem? Any troubleshooting suggestions? Any help would be appreciated.

Thanks.
Chuck