Motovilov A.K. Few-Body Quantum Problem in the Boundary-Condition Model. 8 pages, RevTeX style; Talk given at the International Workshop Meson--Barion interactions and Few--Body systems, Dubna, 28-30 April, 1994. (29K, LaTeX) ABSTRACT. Systems of three and four quantum particles in the boundary-condition model are considered. The Faddeev-Yakubovsky approach is applied to construct the Fredholm-type integral equations for these systems in framework of the Potential theory. The boundary-value problems are formulated for the Faddeev-Yakubovsky components of wave functions.