Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form
This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtai...
Gespeichert in:
| Veröffentlicht in: | Lobachevskii journal of mathematics 2023-08, Vol.44 (8), p.3367-3371 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 3371 |
|---|---|
| container_issue | 8 |
| container_start_page | 3367 |
| container_title | Lobachevskii journal of mathematics |
| container_volume | 44 |
| creator | Khromov, A. P. |
| description | This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtained using the theory of generalized functions, and thus open up new ways of using generalized functions in mixed problems. |
| doi_str_mv | 10.1134/S1995080223080280 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2894913108</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2894913108</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1830-adbc0ccd109bd1d144403d20774d79c1d5ec44c91193901e282c1dbdf35100ea3</originalsourceid><addsrcrecordid>eNp1UEFOwzAQtBBIlMIDuFniHPDaaWofUSktUhFIgXOU2Js2VRK3doqAh_EBPoZDkTggLrOrnZld7RByDuwSQMRXKSg1YpJxLnqU7IAMQIKMlEr4YegDHfXMMTnxfs2CMEmSAfE31Qu6JbYdTdFV6GneGjrDFl1eV-9o6H31GvDR2aLGxtPSOjrHvKMT25qd7irbfltSvXKfH6Zql-jodLvLe8ZTW9JuhTStmk2NvqO31jWn5KjMa49nP3VInm-nT5N5tHiY3U2uF5EGKViUm0IzrQ0wVRgwEMcxE4az8Tg2Y6XBjFDHsVYASigGyCUPw8KUYgSMYS6G5GK_d-PsdheuZ2u7c204mXGpYgUCmAwq2Ku0s947LLONq5rcvWXAsj7b7E-2wcP3Hh-0_ce_m_83fQEMhnwd</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2894913108</pqid></control><display><type>article</type><title>Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form</title><source>SpringerLink Journals - AutoHoldings</source><creator>Khromov, A. P.</creator><creatorcontrib>Khromov, A. P.</creatorcontrib><description>This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtained using the theory of generalized functions, and thus open up new ways of using generalized functions in mixed problems.</description><identifier>ISSN: 1995-0802</identifier><identifier>EISSN: 1818-9962</identifier><identifier>DOI: 10.1134/S1995080223080280</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Algebra ; Analysis ; Conduction heating ; Conductive heat transfer ; Geometry ; Mathematical Logic and Foundations ; Mathematics ; Mathematics and Statistics ; Probability Theory and Stochastic Processes ; Schrodinger equation ; Thermodynamics</subject><ispartof>Lobachevskii journal of mathematics, 2023-08, Vol.44 (8), p.3367-3371</ispartof><rights>Pleiades Publishing, Ltd. 2023</rights><rights>Pleiades Publishing, Ltd. 2023.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1830-adbc0ccd109bd1d144403d20774d79c1d5ec44c91193901e282c1dbdf35100ea3</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/S1995080223080280$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1995080223080280$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Khromov, A. P.</creatorcontrib><title>Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form</title><title>Lobachevskii journal of mathematics</title><addtitle>Lobachevskii J Math</addtitle><description>This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtained using the theory of generalized functions, and thus open up new ways of using generalized functions in mixed problems.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Conduction heating</subject><subject>Conductive heat transfer</subject><subject>Geometry</subject><subject>Mathematical Logic and Foundations</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Probability Theory and Stochastic Processes</subject><subject>Schrodinger equation</subject><subject>Thermodynamics</subject><issn>1995-0802</issn><issn>1818-9962</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1UEFOwzAQtBBIlMIDuFniHPDaaWofUSktUhFIgXOU2Js2VRK3doqAh_EBPoZDkTggLrOrnZld7RByDuwSQMRXKSg1YpJxLnqU7IAMQIKMlEr4YegDHfXMMTnxfs2CMEmSAfE31Qu6JbYdTdFV6GneGjrDFl1eV-9o6H31GvDR2aLGxtPSOjrHvKMT25qd7irbfltSvXKfH6Zql-jodLvLe8ZTW9JuhTStmk2NvqO31jWn5KjMa49nP3VInm-nT5N5tHiY3U2uF5EGKViUm0IzrQ0wVRgwEMcxE4az8Tg2Y6XBjFDHsVYASigGyCUPw8KUYgSMYS6G5GK_d-PsdheuZ2u7c204mXGpYgUCmAwq2Ku0s947LLONq5rcvWXAsj7b7E-2wcP3Hh-0_ce_m_83fQEMhnwd</recordid><startdate>20230801</startdate><enddate>20230801</enddate><creator>Khromov, A. P.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230801</creationdate><title>Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form</title><author>Khromov, A. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1830-adbc0ccd109bd1d144403d20774d79c1d5ec44c91193901e282c1dbdf35100ea3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Algebra</topic><topic>Analysis</topic><topic>Conduction heating</topic><topic>Conductive heat transfer</topic><topic>Geometry</topic><topic>Mathematical Logic and Foundations</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Probability Theory and Stochastic Processes</topic><topic>Schrodinger equation</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khromov, A. P.</creatorcontrib><collection>CrossRef</collection><jtitle>Lobachevskii journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khromov, A. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form</atitle><jtitle>Lobachevskii journal of mathematics</jtitle><stitle>Lobachevskii J Math</stitle><date>2023-08-01</date><risdate>2023</risdate><volume>44</volume><issue>8</issue><spage>3367</spage><epage>3371</epage><pages>3367-3371</pages><issn>1995-0802</issn><eissn>1818-9962</eissn><abstract>This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtained using the theory of generalized functions, and thus open up new ways of using generalized functions in mixed problems.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1995080223080280</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1995-0802 |
| ispartof | Lobachevskii journal of mathematics, 2023-08, Vol.44 (8), p.3367-3371 |
| issn | 1995-0802 1818-9962 |
| language | eng |
| recordid | cdi_proquest_journals_2894913108 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebra Analysis Conduction heating Conductive heat transfer Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes Schrodinger equation Thermodynamics |
| title | Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T18%3A50%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Divergent%20Series%20and%20Generalized%20Mixed%20Problems%20for%20Heat%20Conduction%20and%20Schr%C3%B6dinger%20Equations%20of%20the%20Simplest%20Form&rft.jtitle=Lobachevskii%20journal%20of%20mathematics&rft.au=Khromov,%20A.%20P.&rft.date=2023-08-01&rft.volume=44&rft.issue=8&rft.spage=3367&rft.epage=3371&rft.pages=3367-3371&rft.issn=1995-0802&rft.eissn=1818-9962&rft_id=info:doi/10.1134/S1995080223080280&rft_dat=%3Cproquest_cross%3E2894913108%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2894913108&rft_id=info:pmid/&rfr_iscdi=true |