Definition of "undiscouraged"

Though they were attentive and inquisitive, it was long before fruit appeared; but undiscouraged, she, with prayer and faith, continued to sow beside all waters. Mrs. Judson was surprised at the native intelligence and reflecting minds possessed by some of the Burmese women.

1873, Thomas Webster, Woman= Man's Equal‎

When out of work and still undiscouraged, he has been forced to "hit the road" between large cities in his quest for a job.

1912, Jack London, War of the Classes‎