  We derive the most general junction conditions for the fourth-order brane
gravity constructed of arbitrary functions of curvature invariants. We reduce
these fourth-order theories to second order theories at the expense of
introducing new scalar and tensor fields - the scalaron and the tensoron. In
order to obtain junction conditions we apply the method of generalized
Gibbons-Hawking boundary terms which are appended to the appropriate actions.
After assuming the continuity of the scalaron and the tensoron on the brane, we
recover junction conditions for such general brane universe models previously
obtained by different methods. The derived junction conditions can serve
studying the cosmological implications of the higher-order brane gravity
models.
