Hello Anish,
The main difference between a deemed university and university is that a state university is established by the passing of the required legislation by a state government. It is an educational institute established by the state government and also funded by it.
A deemed university on the other hand is deemed to be a university by the UGC under section 3 of the UGC Act of 1956. The declaration may be made by the central government on recommendation by the UGC.
Hope it helps.
Good Luck!
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile