“The descendants of Solomon were Rehoboam, Abijah his son, Asa his son, Jehoshaphat his son, Joram his son, Ahaziah his son, Joash his son, Amaziah his son, Azariah his son, Jotham his son, Ahaz his son, Hezekiah his son, Manasseh his son, Amon his son, Josiah his son. The sons of Josiah were Johanan the first-born, the second Jehoiakim, the third Zedekiah, the fourth Shallum. The descendants of Jehoiakim were his sons Jeconiah and Zedekiah.”
Here we have the list of the kings of Judah starting with Solomon that can be found at the end of 1 Kings and 2 Kings. Based on those 2 books there was no disruption in the lineage of David via Solomon to all the kings of Judah before the Exile. Unlike the northern kingdom of Israel, there were no revolutions in the southern kingdom of Judah until the end with the Babylonian Captivity. However, there was also a consideration of the kings of Israel in the books of Kings, which is not here at all. The whole emphasis is on Judah and Jerusalem alone. The son of Solomon (1) Rehoboam ruled from about 931-913 BCE. His son (2) Abijah or Abijam ruled from about 913-911 BCE. His son (3) Asa ruled from about 911-870 BCE. His son (4) Jehoshaphat ruled from about 870-848 BCE. His son (5) Joram or Jehoram ruled from about 848-841 BCE. His son (6) Ahaziah, Azariah, or Jehoahaz ruled for less than a year about 841 BCE. There is no mention that Athaliah, Ahaziah’s mother ruled for about 4 years until her grandson (7) Joash or Jehoash ruled from about 835-796 BCE. His son, (8) Amaziah ruled from about 796-781 BCE. His son, (9) Azariah or Uzziah ruled from about 781-740 BCE. His son (10) Jotham ruled from about 740-736 BCE. His son (11) Ahaz ruled from about 736-716 BCE. His son (12) Hezekiah ruled from about 716-687 BCE. His son (13) Manasseh ruled from about 687-642 BCE. His son (14) Amon ruled from about 642-640 BCE. His son (15) Josiah ruled from about 640-609 BCE. Many of Josiah’s sons will rule Judah. His son (16) Johanan, Jehoahaz or Shallum ruled for just one year about 609 BCE. His brother, (17) Josiah’s son Jehoiakim or Eliakim ruled from 609-598 BCE. His son (18) Jehoiachin, Coniah or Jeconiah ruled for less than a year about 598 BCE. (19) Zedekiah or Mattaniah, brother of Jehoiakim and son of Josiah, ruled from about 598-587 BCE until the beginning of the Babylonian captivity.