A Borg-type uniqueness theorem for matrix-valued Schrödinger operators is proved. More precisely, assuming a reflectionless potential matrix and spectrum a half-line [0, ∞), we derive triviality of the potential matrix. Our approach is based on trace formulas and matrix-valued Herglotz representation theorems. As a by-product of our techniques, we obtain an extension of Borg's classical result from the class of periodic scalar potentials to the class of reflectionless matrix-valued potentials.
PL/I FOP/MAC is used So find the symbolic solution to a system of first order simultaneous linear differential equations with alphanumeric coefficients by applying the Laplace transform. The program incorporates routines to solve systems of linear equations with alphanumeric coefficients, Nth order determinants with alphanumeric elements, and divisions of one polynomial by another.
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