Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales

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Authors

ZEMÁNEK Petr HASIL Petr

Year of publication 2012
Type Article in Periodical
Magazine / Source Applied Mathematics and Computation
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.amc.2012.04.027
Field General mathematics
Keywords Time scale; even order Sturm-Liouville dynamic equation; Friedrichs extension; self-adjoint operator; time reversed symplectic system; recessive solution; quadratic functional
Attached files
Description In this paper we characterize the Friedrichs extension of operators associated with the 2n-th order Sturm-Liouville dynamic equations on time scales with using the time reversed symplectic systems and its recessive system of solutions. A nontrivial example is also provided.
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