Restore Error event id 17066 and 3624 while restoring diff backup
A system assertion check has failed. Check the SQL Server error log for details. Typically, an assertion failure is caused by a software bug or data corruption. To check for database corruption, consider running DBCC CHECKDB


This error can be caused by transient, timing-related errors, or by in-memory or on-disk data corruption. 

This message also says that the backup set which you are trying to restore as differential backup is actually not consistent and SQL Server cannot bring database to a logical point if you try to apply this backup. The assertion checks are either SQL Server bugs or something corrupt in database. 

You can bring database online and can run regular dbcc checkdb command and post the output

You need to also check your differential backup is consistent and you can do that by below command

restore verifyonly from disk='backup_location\backup.bak' 


run above command and paste the result in question 


  I am unable use dbcc checkdb as the database in restoring db.Issues happens only in three instance where there is totally 6 instance. In other instance restore is working fine.


Since database is in recovery mode you cannot run any command on it that is why every command you run on it fails

Lastly can you also add output of 

sp_readerrorlog