Boundary triples for integral systems

Authors

  • D.I. Strelnikov Vasyl' Stus Donetsk National University, Vinnitsya

DOI:

https://doi.org/10.15407/dopovidi2018.07.003

Keywords:

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

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.

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References

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Published

15.05.2024

How to Cite

Strelnikov, D. (2024). Boundary triples for integral systems . Reports of the National Academy of Sciences of Ukraine, (7), 3–9. https://doi.org/10.15407/dopovidi2018.07.003