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The general definition of adjoint systems of boundary conditions associated with ordinary linear differential equations was given by Birkhoff.t In a paper of Bôcher,î in which the idea is further developed, there is obtained a condition that a system of thé second order be self-adjoint. It is proposed here to extend the discussion of this problem to the case of systems of any order. § A condition for self-adjointness of the boundary conditions is simply expressed in matrix form, without anydoi:10.2307/1988829 fatcat:7solzvjdqzh6zdbq7tyo64gisa