Necessary and sufficient conditions for a linear vector differential system, involving integral, boundary, and vector parameter terms, to be symmetric (self-adjoint) are developed and applied to obtain canonical forms for symmetric problems. In addition, the concept of the equivalence of two such linear problems under nonsingular transformations is examined, and a relationship between equivalence of a problem with its adjoint and symmetry is obtained.
Vector Parameter Canonical Form Linear Problem Differential System Linear Vector
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