Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Critical; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Requested ATC Assistance / Clarification; General Maintenance Action
Aircraft
Several system anomalies - first Captain's lower speed limit band disappeared. Next Speed limit tape with Source Display 1 indication. This came back and reoccurred at least 3 times. Fuel quantity indicators both started intermittently blanking. Then Ground Proximity Warning System (GPWS) failed intermittently. Then Electronic Engine Controls (EEC) went to ALTN mode on both engines. Both altitude indicators also showed erratic indications - =/- 1000 ft (standby remained stable).We got priority handling to [destination]. Landed without incident.Weather was challenging-strong gusting winds [and] TSTMs approaching. Dispatch sent weather for [an alternate]. After discussing the option we chose to continue to [destination] because weather was similar; we were already descending and the approaches were set up [and] briefed. The time between the 2 airports was equal but changing destination would have required more work and at that point we needed to minimize additional work.
B737NG Captain reported experiencing a number of system anomalies possibly stemming from Air Data Computer issues.