Problem
Your driveway is getting narrower every year.
Asphalt has almost no strength in tension. In the middle of a driveway it does not need any, because it is supported on all sides. At the edge it is supported on one side only, and every tire that rides that edge takes a little away.

Why edges fail first
A driveway edge is a free-standing vertical face of a material that was never designed to stand up on its own. Load applied near it has nowhere to spread sideways.
Add vehicles cutting the corner, a lawnmower wheel, soil that has eroded away from the base of the edge leaving it undercut, and frost lifting the unsupported margin. The material fractures away in pieces.
Once it starts, it accelerates. Each lost piece exposes more unsupported material and lets more water in behind the edge.
The two real fixes
Rebuild the edge with asphalt. Cut back to sound material, rebuild the base out to the new edge, re-pave. It restores the width. It also recreates exactly the same unsupported condition, so it will do the same thing again.
Add a paver border course. A row of concrete pavers set on a compacted base with edge restraint, running along the driveway edge. The pavers carry the edge load, they are individually replaceable, and they will not crumble.
The second costs more up front and is the one we recommend on any driveway where the edge has already failed once. It also happens to look considerably better — a defined border makes a plain asphalt driveway read as a designed surface.
Preventing it on a new driveway
Build the base wider than the asphalt so the material at the edge is sitting on compacted stone rather than half on stone and half on soil.
Keep soil built up to the edge rather than allowing a trench to erode alongside it, which is where undercutting starts.
And where budget allows, put the border in from the beginning. Retrofitting one is more expensive than including it.
Questions
Can crumbling edges be patched?
Small areas can be, and the patch will be visible and will eventually fail the same way unless the edge gets support.
How much does a paver border cost?
It is priced per linear foot and depends on paver choice and how much base work the edge needs. Considerably less than rebuilding the driveway.
Will grass growing to the edge help?
Slightly — it holds the soil against the edge. What actually helps is compacted material under the edge and something structural beside it.
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