Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling
The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the...
Gespeichert in:
| Veröffentlicht in: | Doklady. Mathematics 2022-02, Vol.105 (1), p.18-22 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 22 |
|---|---|
| container_issue | 1 |
| container_start_page | 18 |
| container_title | Doklady. Mathematics |
| container_volume | 105 |
| creator | Kashchenko, S. A. |
| description | The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the initial equation that slowly oscillate at the equilibrium state are constructed. |
| doi_str_mv | 10.1134/S1064562422010069 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2662726347</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2662726347</sourcerecordid><originalsourceid>FETCH-LOGICAL-c246t-33dd9f316a35e53a4cc897d2f3819afc6dd140a83b35721ed7539e473d241f6d3</originalsourceid><addsrcrecordid>eNp1kEtLAzEUhYMoWKs_wF3A9WiSm2RmlmVaH1DoQl0PMY82pU3aZEbpv3dKBRfi6h443zkXDkK3lNxTCvzhlRLJhWScMUIJkfUZGlEBtKhAsvNBD3Zx9C_RVc5rQrhghIzQYnoIaut1xtFhhZuV8uEo53Hpc-c1nu171fkYMv7y3QpP7UYdsAoGT0LnjXeuz_7T4ib2u40Py2t04dQm25ufO0bvj7O35rmYL55emsm80IzLrgAwpnZApQJhBSiudVWXhjmoaK2clsZQTlQFHyBKRq0pBdSWl2AYp04aGKO7U-8uxX1vc9euY5_C8LJlUrKSSRjoMaInSqeYc7Ku3SW_VenQUtIed2v_7DZk2CmTBzYsbfpt_j_0DRAMba8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2662726347</pqid></control><display><type>article</type><title>Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling</title><source>SpringerNature Journals</source><creator>Kashchenko, S. A.</creator><creatorcontrib>Kashchenko, S. A.</creatorcontrib><description>The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the initial equation that slowly oscillate at the equilibrium state are constructed.</description><identifier>ISSN: 1064-5624</identifier><identifier>EISSN: 1531-8362</identifier><identifier>DOI: 10.1134/S1064562422010069</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Boundary value problems ; Chains ; Mathematical analysis ; Mathematics ; Mathematics and Statistics</subject><ispartof>Doklady. Mathematics, 2022-02, Vol.105 (1), p.18-22</ispartof><rights>Pleiades Publishing, Ltd. 2022. ISSN 1064-5624, Doklady Mathematics, 2022, Vol. 105, No. 1, pp. 18–22. © Pleiades Publishing, Ltd., 2022. Russian Text © The Author(s), 2022, published in Doklady Rossiiskoi Akademii Nauk. Matematika, Informatika, Protsessy Upravleniya, 2022, Vol. 502, pp. 23–27.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c246t-33dd9f316a35e53a4cc897d2f3819afc6dd140a83b35721ed7539e473d241f6d3</citedby><cites>FETCH-LOGICAL-c246t-33dd9f316a35e53a4cc897d2f3819afc6dd140a83b35721ed7539e473d241f6d3</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/S1064562422010069$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1064562422010069$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Kashchenko, S. A.</creatorcontrib><title>Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling</title><title>Doklady. Mathematics</title><addtitle>Dokl. Math</addtitle><description>The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the initial equation that slowly oscillate at the equilibrium state are constructed.</description><subject>Boundary value problems</subject><subject>Chains</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1064-5624</issn><issn>1531-8362</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLAzEUhYMoWKs_wF3A9WiSm2RmlmVaH1DoQl0PMY82pU3aZEbpv3dKBRfi6h443zkXDkK3lNxTCvzhlRLJhWScMUIJkfUZGlEBtKhAsvNBD3Zx9C_RVc5rQrhghIzQYnoIaut1xtFhhZuV8uEo53Hpc-c1nu171fkYMv7y3QpP7UYdsAoGT0LnjXeuz_7T4ib2u40Py2t04dQm25ufO0bvj7O35rmYL55emsm80IzLrgAwpnZApQJhBSiudVWXhjmoaK2clsZQTlQFHyBKRq0pBdSWl2AYp04aGKO7U-8uxX1vc9euY5_C8LJlUrKSSRjoMaInSqeYc7Ku3SW_VenQUtIed2v_7DZk2CmTBzYsbfpt_j_0DRAMba8</recordid><startdate>20220201</startdate><enddate>20220201</enddate><creator>Kashchenko, S. A.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220201</creationdate><title>Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling</title><author>Kashchenko, S. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c246t-33dd9f316a35e53a4cc897d2f3819afc6dd140a83b35721ed7539e473d241f6d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Boundary value problems</topic><topic>Chains</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kashchenko, S. A.</creatorcontrib><collection>CrossRef</collection><jtitle>Doklady. Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kashchenko, S. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling</atitle><jtitle>Doklady. Mathematics</jtitle><stitle>Dokl. Math</stitle><date>2022-02-01</date><risdate>2022</risdate><volume>105</volume><issue>1</issue><spage>18</spage><epage>22</epage><pages>18-22</pages><issn>1064-5624</issn><eissn>1531-8362</eissn><abstract>The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the initial equation that slowly oscillate at the equilibrium state are constructed.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1064562422010069</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1064-5624 |
| ispartof | Doklady. Mathematics, 2022-02, Vol.105 (1), p.18-22 |
| issn | 1064-5624 1531-8362 |
| language | eng |
| recordid | cdi_proquest_journals_2662726347 |
| source | SpringerNature Journals |
| subjects | Boundary value problems Chains Mathematical analysis Mathematics Mathematics and Statistics |
| title | Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T18%3A14%3A23IST&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=Dynamics%20of%20a%20Chain%20of%20Logistic%20Equations%20with%20Delay%20and%20Antidiffusive%20Coupling&rft.jtitle=Doklady.%20Mathematics&rft.au=Kashchenko,%20S.%20A.&rft.date=2022-02-01&rft.volume=105&rft.issue=1&rft.spage=18&rft.epage=22&rft.pages=18-22&rft.issn=1064-5624&rft.eissn=1531-8362&rft_id=info:doi/10.1134/S1064562422010069&rft_dat=%3Cproquest_cross%3E2662726347%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=2662726347&rft_id=info:pmid/&rfr_iscdi=true |