Let's start with your question. Your question should be:
'What is the difference between a classifying genitive and a specifying genitive?'
Please explain this to me and give me some examples.
And to answer your question:
An example of a 'classifying genitive' is
'This bookshop sells children's books'.
Here the phrase 'children's books' means 'books for children'. The genitive tells you what type of books they are.
An example of a 'specifying genitive' is
Are those your books, Mary?
No, they're not mine. They're my children's books.
Here the genitive tells you who the books belong to.