The Collaborative International Dictionary of English v.0.48:

Unwavering \Unwavering\
   See wavering.

WordNet (r) 3.0 (2006):

unwavering
    adj 1: marked by firm determination or resolution; not shakable;
           "firm convictions"; "a firm mouth"; "steadfast resolve";
           "a man of unbendable perseverence"; "unwavering loyalty"
           [syn: firm, steadfast, steady, stiff,
           unbendable, unfaltering, unshakable, unwavering]
    2: not showing abrupt variations; "spoke in a level voice"; "she
       gave him a level look"- Louis Auchincloss [syn: level,
       unwavering]

Moby Thesaurus II by Grady Ward, 1.0:

132 Moby Thesaurus words for "unwavering":
   abiding, arrogant, assiduous, assured, balanced, calm, cocksure,
   confident, constant, continuing, convinced, cool, coolheaded,
   decided, determined, diligent, dogged, enduring, faithful, fast,
   fiducial, firm, firm as Gibraltar, fixed, hubristic, immutable,
   imperturbable, in equilibrium, inalterable, indefatigable,
   indomitable, industrious, inexcitable, insistent, invincible,
   lasting, loyal, nerveless, never-failing, never-tiring, obstinate,
   overconfident, oversure, overweening, patient, patient as Job,
   permanent, perseverant, persevering, persistent, persisting,
   persuaded, pertinacious, plodding, plugging, poised, pompous,
   positive, predictable, preoccupied, proud, rapt, reassured,
   relaxed, relentless, reliable, resolute, rock-steady, secure,
   sedulous, self-assured, self-confident, self-important,
   self-reliant, single-minded, sleepless, slogging, solid, sound,
   stable, steadfast, steady, steady-handed, steady-nerved,
   steel-nerved, strong-nerved, stubborn, substantial, sure,
   tenacious, tireless, unabating, unafraid, unblenching, unblinking,
   unconquerable, undaunted, undiscouraged, undoubting, undrooping,
   unfailing, unfaltering, unflagging, unflappable, unflinching,
   unhesitating, unintermitting, uninterrupted, unnervous, unnodding,
   unqualified, unquivering, unrelaxing, unrelenting, unremitting,
   unshakable, unshaken, unshaky, unshrinking, unsleeping, unstrained,
   unswerving, untiring, untremulous, unwearied, unwearying,
   unwinking, utterly attentive, weariless, well-balanced,
   without a tremor, without nerves