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	Friedrichs_extension_of_operators_defined_by_even_order_Sturm-Liouville_equations_on_time_scales__PDF_offprint__Zemanek___Hasil_.pdf
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.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III