Iphone4 logo show for 10 seconds, off for 10 seconds, will not come on, is fully charged

phone4 logo show for 10 seconds, off for 10 seconds, will not come on, is fully charged

Did you try to set it up as new device without using any backup afterwards?
Use iTunes to restore your iOS device to factory settings - Apple Support
If the phone works after that, you backup data contained corrupt files. If still problems, contact Apple Support to get it serviced, this might be hardware related after all.
iPhone - Contact Support - Apple Support

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