Why my iPhone reboot continuosly after battery replacement?

After changing the battery, my Iphone start up normally, but after 2 to 5 minutes it shut down (some stripes are visible for 1 seconds on the screen), and it turn on again.

I put the original battaery again, but the problem still remain.

Some information:

• the first battery was not original
• the battery percentage never change during the charging or the normal use
• after some trials (shut down - forced reboot - volume + pressed...) it will work normally, but if the battery goes to zero, the problem occour again.

Thank you for the answers,

sorry for the bad english.