Krein-von Neumann and Friedrichs extensions for second order operators on time scales

Warning

This publication doesn't include Faculty of Sports Studies. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	ZEMÁNEK Petr
Year of publication	2011
Type	Article in Periodical
Magazine / Source	International Journal of Dynamical Systems and Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Web	http://dx.doi.org/10.1504/ijdsde.2011.038498
Field	General mathematics
Keywords	Second order dynamic equation; time scale; Friedrichs extension; Krein-von Neumann extension; self-adjoint operator; recessive solution; quadratic functional; positivity.
Attached files	Krein-von_Neumann_and_Friedrichs_extensions_for_second_order_operators_on_time_scales__Zemanek_.pdf
Description	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.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Matematické struktury