Boundary triples for integral systems

Strelnikov, DI
Dopov. Nac. akad. nauk Ukr. 2018, 7:3-9
https://doi.org/10.15407/dopovidi2018.07.003
Section: Mathematics
Language: Ukrainian
Abstract: 

An integral system that contains the Sturm—Liouville equation, Stieltjes string, and Krein—Feller string as special cases is considered. The maximal and minimal linear relations associated with the system are studied in a connected Hilbert space. Boundary triples and corresponding Weyl functions for the maximal linear relation are constructed in both limit circle and limit point cases.

Keywords: boundary triple, deficiency indices, integral system, symmetric linear relation, Weyl function
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