I have a new application to help users recoding their voice , but when I searched on playstore I found many apps made the same things and their name were voice recorder , smart voice recorder.... so I want to know Are there any problems if I publish my app with the same name and when does my application name will become a violation of the laws of Google
Your apps name can be the same as an existing app (the package name can't), if the name is not protected by copyright.
I'm pretty sure no one can copyright Recorder, as it is a word, not a brand name.