despond

v. i.	1.	To give up the will, courage, or spirit; to be thoroughly disheartened; to lose all courage; to become dispirited or depressed; to take an unhopeful view. [imp. & p. p. Desponded; p. pr. & vb. n. Desponding.] I should despair, or at least despond. - Scott's Letters. Others depress their own minds, [and] despond at the first difficulty. - Locke. We wish that . . . desponding patriotism may turn its eyes hitherward, and be assured that the foundations of our national power still stand strong. - D. Webster.
n.	1.	Despondency. The slough of despond. - Bunyan.

Verb

1.

despond - lose confidence or hope; become dejected; "The supporters of the Presidential candidate desponded when they learned the early results of the election"

abandon hope, become suicidal, brood, despair, despair of, droop, falter, give up, give up hope, give way, hit rock bottom, languish, lose heart, lose hope, plumb the depths, reach the depths, sag, sink, sink into despair, touch bottom, yield to despair