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@article{922008,
author = {Zemánek, Petr},
article_location = {Ženeva},
article_number = {1-2},
keywords = {Second order dynamic equation; time scale; Friedrichs extension; Krein-von Neumann extension; self-adjoint operator; recessive solution; quadratic functional; positivity.},
language = {eng},
issn = {1752-3583},
journal = {International Journal of Dynamical Systems and Differential Equations},
title = {Krein-von Neumann and Friedrichs extensions for second order operators on time scales},
url = {http://dx.doi.org/10.1504/ijdsde.2011.038498},
volume = {3},
year = {2011}
}
TY - JOUR
ID - 922008
AU - Zemánek, Petr
PY - 2011
TI - Krein-von Neumann and Friedrichs extensions for second order operators on time scales
JF - International Journal of Dynamical Systems and Differential Equations
VL - 3
IS - 1-2
SP - 132-144
EP - 132-144
PB - Indersci. Enterp. Ltd.
SN - 17523583
KW - Second order dynamic equation
KW - time scale
KW - Friedrichs extension
KW - Krein-von Neumann extension
KW - self-adjoint operator
KW - recessive solution
KW - quadratic functional
KW - positivity.
UR - http://dx.doi.org/10.1504/ijdsde.2011.038498
N2 - We consider an operator defined by the second order Sturm-Liouville equation on an unbounded time scale. For such an operator we give characterisations of the domains of its Krein-von Neumann and Friedrichs extensions by using the recessive solution. This generalises and unifies similar results obtained for operators connected with the second order Sturm-Liouville differential and difference equations.
ER -
ZEMÁNEK, Petr. Krein-von Neumann and Friedrichs extensions for second order operators on time scales. \textit{International Journal of Dynamical Systems and Differential Equations}. Ženeva: Indersci. Enterp. Ltd., roč.~3, 1-2, s.~132-144. ISSN~1752-3583. 2011.
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