The Tragical History of the Life and Death of Doctor Faustus was written by Christopher Marlowe around 1590. The first recorded performance of the play was by the Admiral's Men at the Rose Theater in London on September 30, 1594, a little over a year after Marlowe's death. It's entirely possible that this wasn't the first performance of Doctor Faustus, but it's the first recorded performance.
No copy of Marlowe's original manuscript of Doctor Faustus exists. The play was first published in 1604 in a version referred to as the "A" text. The same version was published again in 1609.
Doctor Faustus was published again in 1619 in a version known as the "B" text, which was published several more times in the 1600s.
Philip Henslowe, the owner of the Rose Theatre, kept a diary of the productions at his theatre, in which he records twenty-four productions of Doctor Faustus between 1594 and 1597. The play was clearly very popular in the years after Marlowe's death.
Henslowe also records in his diary that in 1602 he paid four pounds to two playwrights, Samuel Rowley and William Borne (or Bird), to make changes and additions to Doctor Faustus. These changes did not appear in the 1604 "A" text, but appeared in the 1619 "B" version of the play.
The first difference to note between the "A" and "B" texts of Doctor Faustus is that it's likely that neither of these versions fully represent Marlowe's original play.
Aside from the fact that Marlow was dead when the "A" and "B" versions of Doctor Faustus were published, playwrights like Marlowe and Shakespeare rarely had any control over the publication of their plays or the accuracy of the texts in the published editions.
The "A" and "B" texts contain minor differences in shared lines, which can be attributed to clerical copying errors or to intentional changes—none of which were made by Marlowe.
Approximately thirty-six lines were removed from the 1604 "A" text in the 1619 "B" text.
The "B" text contains over 650 new lines, and many of which occur in scenes 12, 13, and the Epilogue. These added lines reflect changes in the extent to which Faustus exercises his free will in the play.
Another change affecting both the "A" and "B" texts is the result of a law passed in 1606 (The Act to Restrain Abuses of Players) which assessed a fine of ten pounds against any actor who "jestingly or profanely spoke the name of God or of Jesus Christ, or of the Holy Ghost or of the Trinity" in any theatrical production.
To comply with this law, the 1609 publication of the "A" text and the 1619 "B" text replace most references to "God," "Jesus Christ," and related terms with "heaven."