Dissipative Sturm-Liouville Operators with Transmission Conditions

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 op...

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Main Authors: Hüseyin Tuna, Aytekin Eryılmaz
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/248740
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author Hüseyin Tuna
Aytekin Eryılmaz
author_facet Hüseyin Tuna
Aytekin Eryılmaz
author_sort Hüseyin Tuna
collection DOAJ
description 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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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-fb8a48d5255346d58ddb29e4322659e82025-08-20T03:25:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/248740248740Dissipative Sturm-Liouville Operators with Transmission ConditionsHüseyin Tuna0Aytekin Eryılmaz1Department of Mathematics, Mehmet Akif Ersoy University, 15100 Burdur, TurkeyDepartment of Mathematics, Nevsehir University, 50300 Nevsehir, TurkeyIn 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.http://dx.doi.org/10.1155/2013/248740
spellingShingle Hüseyin Tuna
Aytekin Eryılmaz
Dissipative Sturm-Liouville Operators with Transmission Conditions
Abstract and Applied Analysis
title Dissipative Sturm-Liouville Operators with Transmission Conditions
title_full Dissipative Sturm-Liouville Operators with Transmission Conditions
title_fullStr Dissipative Sturm-Liouville Operators with Transmission Conditions
title_full_unstemmed Dissipative Sturm-Liouville Operators with Transmission Conditions
title_short Dissipative Sturm-Liouville Operators with Transmission Conditions
title_sort dissipative sturm liouville operators with transmission conditions
url http://dx.doi.org/10.1155/2013/248740
work_keys_str_mv AT huseyintuna dissipativesturmliouvilleoperatorswithtransmissionconditions
AT aytekineryılmaz dissipativesturmliouvilleoperatorswithtransmissionconditions