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On the limit of the coefficients of the eigenfunction series associated with a certain non-self-adjoint differential system
«»» — q(x)u = uxt — p(x)ut where u(x, t) must satisfy the conditions u(a, t)=u(b, /)=0 and u(x, 0) =F(x). In attempting to solve equation (1) by separation of variables, one is led to the consideration of expanding an arbitrary function F(x) in terms of the eigenfunctions, or nonzero …