Functional model for boundary-value problems

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2 Citations (SciVal)


We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then provide explicit formulae for the resolvents of the associated extensions of symmetric operators in terms of appropriate Dirichlet-to-Neumann maps, which can be utilised in the analysis of the properties of parameter-dependent problems, including the study of their spectra.

Original languageEnglish
Pages (from-to)596 - 626
Number of pages31
Issue number3
Early online date7 May 2021
Publication statusPublished - 31 Jul 2021


  • 47A45 (primary)
  • 47F05

ASJC Scopus subject areas

  • Mathematics(all)


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