Krein Extension of an Even-Order Differential Operator |
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Authors: | Ya I Granovskyi L L Oridoroga |
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Institution: | 1.Institute of Applied Mathematics and Mechanics,Donetsk,Ukraine;2.Donetsk National University,Donetsk,Ukraine |
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Abstract: | We describe the Krein extension of the minimal operator associated with the expression A:= (?1) n d2n/dx2n on the interval a, b] in terms of boundary conditions. We also describe all nonnegative extensions of the operator A and extensions with finitely many negative squares. |
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