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

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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