Publication details

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

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
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.
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