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Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales. (English) Zbl 1483.47019

Summary: In this paper we characterize the Friedrichs extension of operators associated with the 2\(n\)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.

MSC:

47A20 Dilations, extensions, compressions of linear operators
34N05 Dynamic equations on time scales or measure chains
34B24 Sturm-Liouville theory
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