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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., 2011, roč.~3, 1-2, s.~132-144. ISSN~1752-3583.
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