Kocayigit, HÖnder, MHacisalihoglu, HH2024-07-182024-07-18http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/6707UNIV AL I CUZA, FAC MATHArticleIn this paper, we give definitions and characterizations of harmonic 1-type and weak biharmonic curves by using the mean curvature vector field of a Frenet curve in the Lorentzian 3-space L-3. We also study weak biharmonic curves whose mean curvature vector fields are in the kernel of normal Laplacian del(perpendicular to). We give some theorems for them in L-3. Moreover, we give some characterizations and results for a Frenet curve in the same space.