Boundary triples for integral systems

TitleBoundary triples for integral systems
Publication TypeJournal Article
Year of Publication2018
AuthorsStrelnikov, DI
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.07.003
Issue7
SectionMathematics
Pagination3-9
Date Published7/2018
LanguageUkrainian
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.

Keywordsboundary triple, deficiency indices, integral system, symmetric linear relation, Weyl function
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