  Biharmonic curves are a generalization of geodesics, with applications in
elasticity theory and various branches of computer science. The paper proposes
a first study of biharmonic curves in spaces with Finslerian geometry, covering
the following topics: a deduction of their equations, existence of non-geodesic
biharmonic curves for some classes of Finsler spaces and specific properties.
We prove, for instance, that geodesic curvature is constant along Finslerian
biharmonic curves. Integration of the biharmonic equation is presented for two
concrete Finsler metrics.
