Is it possible to play video online that's made of two or more video files?
Since my original post wasn't clear enough, here's expanded explanation and question.
My site is hosted on Linux/Apache/PHP server. I have video files in FLV/F4V format. I can also convert them to other available formats if necessary. All videos have same aspect ratio and other parameters.
What I want is to build (or use if exist) online video player that plays video composed of multiple video files concatenated together in real-time, i.e. when user clicks to see a video.
For example, visitor comes to my site and sees video titled "Welcome" available to play. When he/she clicks to play that video, I take video files "Opening.f4v", "Welcome.f4v" and "Ending.f4v" and join/merge/concatenate them one after another to create one continuous video on the fly.
Resulting video looks like one video, with no visual clues, lags or even smallest observable delay between video parts. Basically what is done is some form of on-the-fly editing or pre-editing, and user sees the result. This resulting video is not saved on the server, it's just composed and played that way real-time.
Also, if possible, user shouldn't be made to wait for this merging to be over before he/she sees resulting video, but to be able to get first part of the video playing immediately, while merging is done simultaneously.
Is this possible with flash/actionscript, ffmpeg, html5 or some other online technology? I don't need explanation how it's possible, just a nod that it's possible and some links to further investigate.
Also, if one option is to use flash, what are alternatives for making this work when site is visited from iphone/ipad?