Necessary and su]]ieient conditions ]or a linear vector di//erential system, involving integral, boundary, and vector parameter terms, to be symmetric (self-adjoint) are developed and applied to obtain canonical ]orms ]or symmetric problems. In addition, the concept o] the equivalence o] two such linear problems under nonsinffular trans/ormations is examined, and a relationship between equivalence o] a problem with its adjoint and symmetry is obtained.

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