TY  - JOUR
ID  - Granovskyi2018
LB  - Granovskyi2018
AU  - Granovskyi, Yaroslav I.
AU  - Oridoroga, Leonid L.
TI  - Krein-von Neumann extension of an even order differential operator on a finite interval
ST  - Krein-von Neumann extension of an even order differential operator on a finite interval
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 5
SP  - 681
EP  - 698
DO  - https://doi.org/10.7494/OpMath.2018.38.5.681
UR  - https://doi.org/10.7494/OpMath.2018.38.5.681
AB  - We describe the Krein-von Neumann extension of minimal operator associated with the expression \(\mathcal{A}:=(-1)^n\frac{d^{2n}}{dx^{2n}}\) on a finite interval \((a,b)\) in terms of boundary conditions. All non-negative extensions of the operator \(A\) as well as extensions with a finite number of negative squares are described.
KW  - non-negative extension
KW  - Friedrichs' extension
KW  - Krein-von Neumann extension
KW  - boundary triple
KW  - Weyl function
SN  - 1232-9274
ER  -