Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions

For problems of transmission for higher-order equations with inhomogeneous conjugation conditions, we construct and investigate the corresponding operators in Hilbert spaces. We prove the self-adjointness of these operators for a spectral problem with a parameter in conjugation conditions.

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Date:2001
Main Authors: Komarenko, A. N., Комаренко, О. Н.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4382
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Komarenko, A. N.
Комаренко, О. Н.
author_facet Komarenko, A. N.
Комаренко, О. Н.
author_sort Komarenko, A. N.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T20:27:29Z
description For problems of transmission for higher-order equations with inhomogeneous conjugation conditions, we construct and investigate the corresponding operators in Hilbert spaces. We prove the self-adjointness of these operators for a spectral problem with a parameter in conjugation conditions.
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spelling umjimathkievua-article-43822020-03-18T20:27:29Z Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions Самоспряжсиі оператори, породжепі задачами трансмісії з неоднорідними умовами спряження Komarenko, A. N. Комаренко, О. Н. For problems of transmission for higher-order equations with inhomogeneous conjugation conditions, we construct and investigate the corresponding operators in Hilbert spaces. We prove the self-adjointness of these operators for a spectral problem with a parameter in conjugation conditions. Для задач трансмісії з рівняннями вищих порядків і неоднорідними умовами спряження побудовано і досліджено відповідні оператори в гільбертових просторах. Доведено їх самоспряженість для спектральної задачі з параметром в умовах спряження. Institute of Mathematics, NAS of Ukraine 2001-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4382 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 12 (2001); 1607-1622 Український математичний журнал; Том 53 № 12 (2001); 1607-1622 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4382/5468 https://umj.imath.kiev.ua/index.php/umj/article/view/4382/5469 Copyright (c) 2001 Komarenko A. N.
spellingShingle Komarenko, A. N.
Комаренко, О. Н.
Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
title Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
title_alt Самоспряжсиі оператори, породжепі задачами трансмісії з неоднорідними умовами спряження
title_full Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
title_fullStr Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
title_full_unstemmed Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
title_short Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
title_sort self-adjoint operators generated by problems of transmission with inhomogeneous conjugation conditions
url https://umj.imath.kiev.ua/index.php/umj/article/view/4382
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