  In this paper we obtain the expression for the self-force in the model with
the Lagrangian containing additional terms, quadratic in Maxwell tensor
derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force
are analyzed for various limiting cases. When a charged particle moves along
straight line with a uniform acceleration, an explicit formula is found. In the
framework of the considered model, an observable renormalized particle mass is
shown to depend on its acceleration. This dependence allows, in principle, to
extract experimentally a value of the particle bare mass.
