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Multi-interval Sturm-Liouville problems with distributional coefficients


Abstract

The paper investigates spectral properties of multi-interval Sturm-Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions and also all generalized resolvents in terms of boundary conditions are given.

Key words: Sturm-Liouville operator; multi-interval boundary value problem; distributional coefficients; self-adjoint extension; maximal dissipative extension.


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Article Information

TitleMulti-interval Sturm-Liouville problems with distributional coefficients
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 103-110
DOIhttps://doi.org/10.31392/MFAT-npu26 2.2020.02
MilestonesReceived 09.06.2020
CopyrightThe Author(s) 2020 (CC BY-SA)

Authors Information

Andrii Goriunov
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine


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Citation Example

Andrii Goriunov, Multi-interval Sturm-Liouville problems with distributional coefficients, Methods Funct. Anal. Topology 26 (2020), no. 2, 103-110.


BibTex

@article {MFAT1342,
    AUTHOR = {Andrii Goriunov},
     TITLE = {Multi-interval Sturm-Liouville problems with distributional coefficients},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {26},
      YEAR = {2020},
    NUMBER = {2},
     PAGES = {103-110},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=1342},
}


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