I would love to use this feature too.

Did you manage to use it in Corona?

This feature is available in the daily builds: http://blog.anscamobile.com/2011/10/4-brand-new-apis-now-available/

@Joe Kool: For example, take a farming game...perhaps you plant crops and need to tend to them in two hours. You can set the notification to go off in two hours and the user will be notified if they don't have the app open at that time. (My understanding, at least...anyone feel free to chime in and correct me. hehe)

Again, just my understanding...but I'd figure push notifications originate from an external source and are pushed to all (or a select group of) devices, whereas local notifications are created in-app for that one device.

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-- Options for iOS 
local options = {
   alert = "Wake up!",
   badge = 2,
   sound = "alarm.caf",
   custom = { foo = "bar" }
}
 
-- schedule using seconds from now
local notification = system.scheduleNotification( 60, options )
 
-- schedule using UTC (Coordinated Universal Time)
local utcTime = os.date( "!*t", os.time() + 60 )
local notification = system.scheduleNotification( utcTime, options )
 
local listener = function( event )
   print( event.name ) -- ==> "notification"
   print( event.custom.foo ) -- ==> "bar"
end
 
Runtime:addEventListener( "notification", listener )

badge is the red number that shows in app Icon

if helps...

http://blog.anscamobile.com/2011/10/daily-builds-update-626-631/

in this link show how to make this notifications when app is not running

Dhennrich.