this paper, we give existence and uniqueness results for solutions of multipoint boundary value problems of the form x'=ƒ(t,x(t))+e(t), t∈(0,1), m∑j=1/Ajx (ηj)=0, where ƒ: [0, 1] x Rn→Rn is s Carathdodory function, Ajs (j=1, 2,……,m) are constant square matrices of order n1, 0<η1<η2<…<ηm-1<ηm<1, and e(t) ∈L1([0, 1], Rn). The existence of solutions is proven by the coincidence degree theory. As an application, we also give one example to demonstrate our results.