Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system

Existence theorems about bifurcation points of solutions for nonlinear operator equation in Banach spaces are proved. The sucient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are obtained. The analytical method of Lyapunov-Schmidt-Trenogon is employed.

Autores:
Rendón, Leonardo
Sinitsyn, Alexandre V.
Sidorov, Nikolai A.
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66456
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66456
http://bdigital.unal.edu.co/67484/
Palabra clave:
51 Matemáticas / Mathematics
plasma
bifurcation points
Conley index
nonlinear analysis
Vlasov-Maxwell system
Lyapunov-Schmidt-Trenogin method
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Rendón, Leonardoc4e49803-d28a-4b62-a8b3-a30db7bf2dd8300Sinitsyn, Alexandre V.de606137-ab0a-4e37-b44c-4d28ee8d004e300Sidorov, Nikolai A.d36f0912-423a-4621-af4c-327994f2f0b93002019-07-03T02:09:44Z2019-07-03T02:09:44Z2016-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66456http://bdigital.unal.edu.co/67484/Existence theorems about bifurcation points of solutions for nonlinear operator equation in Banach spaces are proved. The sucient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are obtained. The analytical method of Lyapunov-Schmidt-Trenogon is employed.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/62200Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRendón, Leonardo and Sinitsyn, Alexandre V. and Sidorov, Nikolai A. (2016) Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Revista Colombiana de Matemáticas, 50 (1). pp. 85-107. ISSN 2357-410051 Matemáticas / Mathematicsplasmabifurcation pointsConley indexnonlinear analysisVlasov-Maxwell systemLyapunov-Schmidt-Trenogin methodBifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell systemArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62200-316258-1-SM.pdfapplication/pdf445900https://repositorio.unal.edu.co/bitstream/unal/66456/1/62200-316258-1-SM.pdfb7a33c9c688df5db664ded95ee189f3eMD51THUMBNAIL62200-316258-1-SM.pdf.jpg62200-316258-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5056https://repositorio.unal.edu.co/bitstream/unal/66456/2/62200-316258-1-SM.pdf.jpg7fba7cae596d04a2dd036ef20e8c48e4MD52unal/66456oai:repositorio.unal.edu.co:unal/664562023-05-25 23:02:46.386Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
title Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
spellingShingle Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
51 Matemáticas / Mathematics
plasma
bifurcation points
Conley index
nonlinear analysis
Vlasov-Maxwell system
Lyapunov-Schmidt-Trenogin method
title_short Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
title_full Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
title_fullStr Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
title_full_unstemmed Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
title_sort Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system
dc.creator.fl_str_mv Rendón, Leonardo
Sinitsyn, Alexandre V.
Sidorov, Nikolai A.
dc.contributor.author.spa.fl_str_mv Rendón, Leonardo
Sinitsyn, Alexandre V.
Sidorov, Nikolai A.
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
plasma
bifurcation points
Conley index
nonlinear analysis
Vlasov-Maxwell system
Lyapunov-Schmidt-Trenogin method
dc.subject.proposal.spa.fl_str_mv plasma
bifurcation points
Conley index
nonlinear analysis
Vlasov-Maxwell system
Lyapunov-Schmidt-Trenogin method
description Existence theorems about bifurcation points of solutions for nonlinear operator equation in Banach spaces are proved. The sucient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are obtained. The analytical method of Lyapunov-Schmidt-Trenogon is employed.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:09:44Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:09:44Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66456
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67484/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66456
http://bdigital.unal.edu.co/67484/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/62200
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Rendón, Leonardo and Sinitsyn, Alexandre V. and Sidorov, Nikolai A. (2016) Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Revista Colombiana de Matemáticas, 50 (1). pp. 85-107. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66456/1/62200-316258-1-SM.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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