Publication details
Krein-von Neumann and Friedrichs extensions for second order operators on time scales
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Dynamical Systems and Differential Equations |
| MU Faculty or unit | |
| 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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