Initial state of arduino output

Hi all. I have a Arduino uno with ethernet shield. In the app I put a button widget for turn on-off output 3. All work OK. My question is:
If I turn on the output, and later I stop the app, when I start another time the app the real state of the output in the arduino will remain or the init the app will change something?
Re-Starting the app do something?

Sorry for my english.

Jaume Nogués
RPrim TechSschool

The App (Android) should hold latest state (if state was changed via app).