Multipoint Boundary Value Problem for the Adjoint Equation and Its Green's Function

Connection between the adjoint family of functions has been defined for the first and the adjoint characteristic equation of the (n-1)-th order of the Riccati type has been studied. The nonhomogeneous multipoint problem for the adjoint differential equation of the n-th order has been solved and the Green's function has been constructed and its new properties have been determined.