What was found
ON THE INITIAL DESCENT (FL430). WE FELT A LARGE VIBRATION FOLLOWED BY INDICATIONS OF THE THE RIGHT ENGINE ROLLING BACK. ENGINE SHUTDOWN RIGHT CYAN CAS DISPLAYED. AFTER 5-10 SECONDS, WE AGAIN FELT A VIBRATION/SURGE FOLLOWED BY INDICATION OF THE ENGINE RELIGHTING. CAS MESSAGED CLEARED. NO OTHER ISSUES NOTED THROUGH THE REST OF THE FILGHT. R & R ALL 4 BLEED VALVES WITH OVERHAULED/INSPECTED UNITS. R & R BOV CONTROL UNIT (SOLENOID) WITH OVERHAULED UNIT. COMPLIED WITH ENGINE GROUND RUNS, LEAK & OPS CHECKS, BOV OPS CHECKS, & ENGINE PERFORMANCE RUNS WITH NO DISCREPANCIES NOTED. WORK PERFORMED IAW EMM 75-30-01, 75-30-02, 71-00-00.