Hello and thanks for your question, my name is ***** ***** i will be assisting you today,
Please try to reset it. It may have a bad software OS loaded and we can just replace with a new copy.
Make sure you backup your data (contacts, documents, photos, ect...)
Press and hold the Sleep/Wake button and the Home button at the same time for at least Ten seconds until the Apple logo appears. Release the Buttons.
If the problem persists pleaseTry a Restore :
1.Connect the device to Your computer and open iTunes.
2.If the device appears in iTunes, select and click Restore on the Summary pane.
additional information : http://support.apple.com/kb/HT1414
3.If the device doesn't appear in iTunes, try using the Steps in this article : https://support.apple.com/HT201263 to force the device into Recovery Mode.
Make sure you have the Latest Version of iTunes Installed on your computer : www.itunes.com/download
Once you have Recovered your iPhone Device Re-Sync your Content or Restore from the most Recent Backup :
Restore from Backup > http://support.apple.com/kb/ht1766
Let me know if you need further assistance
Please try to restore it using itunes and let me know the results, remember to backup you data.
Has everything worked out please?
If you need further assistance please reply back to me and i will gladly continue to help
Any results please?