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Dissipative Sturm-Liouville Operators with Transmission Conditions
Author(s) -
Hüseyin Tuna,
Aytekin Eryılmaz
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/248740
Subject(s) - dissipative system , sturm–liouville theory , mathematics , dissipative operator , completeness (order theory) , eigenvalues and eigenvectors , transmission (telecommunications) , mathematical analysis , pure mathematics , computer science , physics , boundary value problem , thermodynamics , quantum mechanics , telecommunications
In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative Sturm-Liouville operators with transmission conditions

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