On the stability of the telegraph equation with time delay
In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered....
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 1 |
| container_start_page | |
| container_title | |
| container_volume | 1759 |
| creator | Ashyralyev, Allaberen Agirseven, Deniz Turk, Koray |
| description | In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes. |
| doi_str_mv | 10.1063/1.4959636 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_proquest_journals_2121694101</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2121694101</sourcerecordid><originalsourceid>FETCH-LOGICAL-p253t-352717706ee6472696a1eac78273199440bd5d38881ace55efabf1054f9b40553</originalsourceid><addsrcrecordid>eNp9kE1Lw0AYhBdRMFYP_oMFb0LqvvuZ9SbFLyj0ouBt2SRvzJY0SZOt0n9vbQvePA0MDzPDEHINbApMizuYSqusFvqEJKAUpEaDPiUJY1amXIqPc3IxjkvGuDUmS8j9oqWxRjpGn4cmxC3tqr0RscHPwfc1xfXGx9C19DvEmsawQlpi47eX5KzyzYhXR52Q96fHt9lLOl88v84e5mnPlYipUNyAMUwjamm4ttoD-sJk3AiwVkqWl6oUWZaBL1AprHxeAVOysrlkSokJuTnk9kO33uAY3bLbDO2u0nHgoK0EBjvq9kCNRYj7va4fwsoPWwfM_X7jwB2_-Q_-6oY_0PVlJX4Auldi5A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype><pqid>2121694101</pqid></control><display><type>conference_proceeding</type><title>On the stability of the telegraph equation with time delay</title><source>AIP Journals Complete</source><creator>Ashyralyev, Allaberen ; Agirseven, Deniz ; Turk, Koray</creator><contributor>Ashyralyev, Allaberen ; Lukashov, Alexey</contributor><creatorcontrib>Ashyralyev, Allaberen ; Agirseven, Deniz ; Turk, Koray ; Ashyralyev, Allaberen ; Lukashov, Alexey</creatorcontrib><description>In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.4959636</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Boundary conditions ; Boundary value problems ; Delay ; Dirichlet problem ; Hilbert space ; Stability ; Time lag</subject><ispartof>AIP conference proceedings, 2016, Vol.1759 (1)</ispartof><rights>Author(s)</rights><rights>2016 Author(s). Published by AIP Publishing.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/acp/article-lookup/doi/10.1063/1.4959636$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>309,310,314,776,780,785,786,790,4498,23911,23912,25120,27903,27904,76130</link.rule.ids></links><search><contributor>Ashyralyev, Allaberen</contributor><contributor>Lukashov, Alexey</contributor><creatorcontrib>Ashyralyev, Allaberen</creatorcontrib><creatorcontrib>Agirseven, Deniz</creatorcontrib><creatorcontrib>Turk, Koray</creatorcontrib><title>On the stability of the telegraph equation with time delay</title><title>AIP conference proceedings</title><description>In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.</description><subject>Boundary conditions</subject><subject>Boundary value problems</subject><subject>Delay</subject><subject>Dirichlet problem</subject><subject>Hilbert space</subject><subject>Stability</subject><subject>Time lag</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2016</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kE1Lw0AYhBdRMFYP_oMFb0LqvvuZ9SbFLyj0ouBt2SRvzJY0SZOt0n9vbQvePA0MDzPDEHINbApMizuYSqusFvqEJKAUpEaDPiUJY1amXIqPc3IxjkvGuDUmS8j9oqWxRjpGn4cmxC3tqr0RscHPwfc1xfXGx9C19DvEmsawQlpi47eX5KzyzYhXR52Q96fHt9lLOl88v84e5mnPlYipUNyAMUwjamm4ttoD-sJk3AiwVkqWl6oUWZaBL1AprHxeAVOysrlkSokJuTnk9kO33uAY3bLbDO2u0nHgoK0EBjvq9kCNRYj7va4fwsoPWwfM_X7jwB2_-Q_-6oY_0PVlJX4Auldi5A</recordid><startdate>20160810</startdate><enddate>20160810</enddate><creator>Ashyralyev, Allaberen</creator><creator>Agirseven, Deniz</creator><creator>Turk, Koray</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20160810</creationdate><title>On the stability of the telegraph equation with time delay</title><author>Ashyralyev, Allaberen ; Agirseven, Deniz ; Turk, Koray</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p253t-352717706ee6472696a1eac78273199440bd5d38881ace55efabf1054f9b40553</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Boundary conditions</topic><topic>Boundary value problems</topic><topic>Delay</topic><topic>Dirichlet problem</topic><topic>Hilbert space</topic><topic>Stability</topic><topic>Time lag</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ashyralyev, Allaberen</creatorcontrib><creatorcontrib>Agirseven, Deniz</creatorcontrib><creatorcontrib>Turk, Koray</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ashyralyev, Allaberen</au><au>Agirseven, Deniz</au><au>Turk, Koray</au><au>Ashyralyev, Allaberen</au><au>Lukashov, Alexey</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On the stability of the telegraph equation with time delay</atitle><btitle>AIP conference proceedings</btitle><date>2016-08-10</date><risdate>2016</risdate><volume>1759</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4959636</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2016, Vol.1759 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_proquest_journals_2121694101 |
| source | AIP Journals Complete |
| subjects | Boundary conditions Boundary value problems Delay Dirichlet problem Hilbert space Stability Time lag |
| title | On the stability of the telegraph equation with time delay |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T06%3A03%3A32IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_scita&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=On%20the%20stability%20of%20the%20telegraph%20equation%20with%20time%20delay&rft.btitle=AIP%20conference%20proceedings&rft.au=Ashyralyev,%20Allaberen&rft.date=2016-08-10&rft.volume=1759&rft.issue=1&rft.issn=0094-243X&rft.eissn=1551-7616&rft.coden=APCPCS&rft_id=info:doi/10.1063/1.4959636&rft_dat=%3Cproquest_scita%3E2121694101%3C/proquest_scita%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2121694101&rft_id=info:pmid/&rfr_iscdi=true |