Bessel Inequality and the Basis Property for a Dirac Type System with an Integrable Potential

We study the Bessel and basis properties of root vector functions of a Dirac type operator with an integrable potential. Criteria for the Bessel and basis properties are established, and a theorem on the equivalent basis property in is proved.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Differential equations 2020, Vol.56 (5), p.573-584
Hauptverfasser: Kurbanov, V. M., Gadzhieva, G. R.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 584
container_issue 5
container_start_page 573
container_title Differential equations
container_volume 56
creator Kurbanov, V. M.
Gadzhieva, G. R.
description We study the Bessel and basis properties of root vector functions of a Dirac type operator with an integrable potential. Criteria for the Bessel and basis properties are established, and a theorem on the equivalent basis property in is proved.
doi_str_mv 10.1134/S0012266120050031
format Article
fullrecord <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2408255072</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A716330445</galeid><sourcerecordid>A716330445</sourcerecordid><originalsourceid>FETCH-LOGICAL-g1101-afa4f1223cbc922faef54ba04980d83756694123942905bee09fa8603ca8e4163</originalsourceid><addsrcrecordid>eNplUMtqAkEQHEICMSYfkNtAzmt6Xvs4qnkJgQiaY1hm1551ZN3VmZHg32fEQA6hDw3VVdXdRcg9gxFjQj4uABjnaco4gAIQ7IIMWAp5IiAXl2RwGien-TW58X4DAEXG1IB8TdB7bOmsw_1BtzYcqe5WNKyRTrS3ns5dv0MXYdM7qumTdbqmy-MO6eLoA27ptw3rqIkOARunqxbpvA_YBavbW3JldOvx7rcPyefL83L6lrx_vM6m4_ekYQxYoo2WJp4v6qouODcajZKVBlnksMpFptK0kIyLQvICVIUIhdF5CqLWOUqWiiF5OPvuXL8_oA_lpj-4Lq4suYScKwUZj6zRmdXoFkvbmT7EZ2KtcGvrvkNjIz7OoqEAKVUU8LPA75ztGnR_tgzKU-7lv9zFDyPvc0Y</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2408255072</pqid></control><display><type>article</type><title>Bessel Inequality and the Basis Property for a Dirac Type System with an Integrable Potential</title><source>SpringerLink Journals - AutoHoldings</source><creator>Kurbanov, V. M. ; Gadzhieva, G. R.</creator><creatorcontrib>Kurbanov, V. M. ; Gadzhieva, G. R.</creatorcontrib><description>We study the Bessel and basis properties of root vector functions of a Dirac type operator with an integrable potential. Criteria for the Bessel and basis properties are established, and a theorem on the equivalent basis property in is proved.</description><identifier>ISSN: 0012-2661</identifier><identifier>EISSN: 1608-3083</identifier><identifier>DOI: 10.1134/S0012266120050031</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Difference and Functional Equations ; Differential equations ; Mathematics ; Mathematics and Statistics ; Ordinary Differential Equations ; Partial Differential Equations</subject><ispartof>Differential equations, 2020, Vol.56 (5), p.573-584</ispartof><rights>Pleiades Publishing, Ltd. 2020</rights><rights>COPYRIGHT 2020 Springer</rights><rights>Pleiades Publishing, Ltd. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-g1101-afa4f1223cbc922faef54ba04980d83756694123942905bee09fa8603ca8e4163</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0012266120050031$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0012266120050031$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kurbanov, V. M.</creatorcontrib><creatorcontrib>Gadzhieva, G. R.</creatorcontrib><title>Bessel Inequality and the Basis Property for a Dirac Type System with an Integrable Potential</title><title>Differential equations</title><addtitle>Diff Equat</addtitle><description>We study the Bessel and basis properties of root vector functions of a Dirac type operator with an integrable potential. Criteria for the Bessel and basis properties are established, and a theorem on the equivalent basis property in is proved.</description><subject>Difference and Functional Equations</subject><subject>Differential equations</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Ordinary Differential Equations</subject><subject>Partial Differential Equations</subject><issn>0012-2661</issn><issn>1608-3083</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNplUMtqAkEQHEICMSYfkNtAzmt6Xvs4qnkJgQiaY1hm1551ZN3VmZHg32fEQA6hDw3VVdXdRcg9gxFjQj4uABjnaco4gAIQ7IIMWAp5IiAXl2RwGien-TW58X4DAEXG1IB8TdB7bOmsw_1BtzYcqe5WNKyRTrS3ns5dv0MXYdM7qumTdbqmy-MO6eLoA27ptw3rqIkOARunqxbpvA_YBavbW3JldOvx7rcPyefL83L6lrx_vM6m4_ekYQxYoo2WJp4v6qouODcajZKVBlnksMpFptK0kIyLQvICVIUIhdF5CqLWOUqWiiF5OPvuXL8_oA_lpj-4Lq4suYScKwUZj6zRmdXoFkvbmT7EZ2KtcGvrvkNjIz7OoqEAKVUU8LPA75ztGnR_tgzKU-7lv9zFDyPvc0Y</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Kurbanov, V. M.</creator><creator>Gadzhieva, G. R.</creator><general>Pleiades Publishing</general><general>Springer</general><general>Springer Nature B.V</general><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>2020</creationdate><title>Bessel Inequality and the Basis Property for a Dirac Type System with an Integrable Potential</title><author>Kurbanov, V. M. ; Gadzhieva, G. R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-g1101-afa4f1223cbc922faef54ba04980d83756694123942905bee09fa8603ca8e4163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Difference and Functional Equations</topic><topic>Differential equations</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Ordinary Differential Equations</topic><topic>Partial Differential Equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kurbanov, V. M.</creatorcontrib><creatorcontrib>Gadzhieva, G. R.</creatorcontrib><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Differential equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kurbanov, V. M.</au><au>Gadzhieva, G. R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bessel Inequality and the Basis Property for a Dirac Type System with an Integrable Potential</atitle><jtitle>Differential equations</jtitle><stitle>Diff Equat</stitle><date>2020</date><risdate>2020</risdate><volume>56</volume><issue>5</issue><spage>573</spage><epage>584</epage><pages>573-584</pages><issn>0012-2661</issn><eissn>1608-3083</eissn><abstract>We study the Bessel and basis properties of root vector functions of a Dirac type operator with an integrable potential. Criteria for the Bessel and basis properties are established, and a theorem on the equivalent basis property in is proved.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0012266120050031</doi><tpages>12</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0012-2661
ispartof Differential equations, 2020, Vol.56 (5), p.573-584
issn 0012-2661
1608-3083
language eng
recordid cdi_proquest_journals_2408255072
source SpringerLink Journals - AutoHoldings
subjects Difference and Functional Equations
Differential equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
title Bessel Inequality and the Basis Property for a Dirac Type System with an Integrable Potential
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T22%3A45%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Bessel%20Inequality%20and%20the%20Basis%20Property%20for%20a%20Dirac%20Type%20System%20with%20an%20Integrable%20Potential&rft.jtitle=Differential%20equations&rft.au=Kurbanov,%20V.%20M.&rft.date=2020&rft.volume=56&rft.issue=5&rft.spage=573&rft.epage=584&rft.pages=573-584&rft.issn=0012-2661&rft.eissn=1608-3083&rft_id=info:doi/10.1134/S0012266120050031&rft_dat=%3Cgale_proqu%3EA716330445%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2408255072&rft_id=info:pmid/&rft_galeid=A716330445&rfr_iscdi=true