Abstract
We describe the Krein extension of the minimal operator associated with the expression A:= (−1)nd2n/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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Original Russian Text © Ya.I. Granovskyi, L.L. Oridoroga, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 4, pp. 556–560.
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Granovskyi, Y.I., Oridoroga, L.L. Krein Extension of an Even-Order Differential Operator. Diff Equat 54, 551–556 (2018). https://doi.org/10.1134/S0012266118040110
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DOI: https://doi.org/10.1134/S0012266118040110