Zur Regularität Selbstadjungierter Randwertaufgaben |
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Authors: | Heinz Fiedler |
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Institution: | (1) Abteilung für Mathematik, Universität Ulm, Blaubeurerstr. 30, 79 Ulm |
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Abstract: | In this note we derive a necessary requirement for the self-adjointness of a boundary value problem of ordinary differential equations, which involves only the leading coefficients of the normalized boundary conditions. As application it is shown that every self-adjoint boundary value problem of even order (and thus especially every real self-adjoint boundary value problem) is regular. The proof of this fact depends on the evaluation of a sort of generalized Vandermonde's determinant. |
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