Yeah, big cap leaking, going bad... but not dead yet since you still get backlight so the power supply produces power.
Backlight is something like 20v which gets boosted to hundreds of volts by the inverter so that voltage doesn't have to be that accurate, but the psu could otherwise be unstable.
The psu will also produce voltages like 3.3v and 5v for the digital board (processor chip) and often a higher voltage like 12v if some models in that series had audio features and therefore audio amplifier chips.
These smaller voltages may be unstable.
Use multimeter to measure them at connector between boards.
the digital board will probably also have some linear regulators that for example podoce 2.5v or 1.8v from 5v. check in and out voltage, check tiny fuses on that board... sometimes (rarely) input caps on that board go bad but visually they look ok.
so basically do more checks and report results here.