Did the author Eric van lustbader take up where Robert ludum finished continuing with Jason Bourne novels?

Yes, Eric Van Lustbader continued the Jason Bourne series after Robert Ludlum's original novels. He was chosen to expand the Bourne universe, starting with "The Bourne Legacy" in 2004, and has written several sequels since then. While Ludlum's works established the character and premise, Lustbader's contributions further developed the storyline and characters, keeping the franchise alive for new generations of readers.