Differential equations with natural matrices coefficients
In this paper we present the main results of the master thesis in applied mathematics of the second named author, which was supervised by the first named author. Such results, and for instance this paper, concerns to some differential and algebraic results involving natural matrices. The problem of...
- Autores:
-
Acosta-Humánez, P.
Ramírez-López, J.
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad Simón Bolívar
- Repositorio:
- Repositorio Digital USB
- Idioma:
- eng
- OAI Identifier:
- oai:bonga.unisimon.edu.co:20.500.12442/5971
- Acceso en línea:
- https://hdl.handle.net/20.500.12442/5971
https://doi.org/10.1088/1742-6596/1514/1/012015
- Palabra clave:
- Differential equations
Differential algebra
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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Differential equations with natural matrices coefficients |
| title |
Differential equations with natural matrices coefficients |
| spellingShingle |
Differential equations with natural matrices coefficients Differential equations Differential algebra |
| title_short |
Differential equations with natural matrices coefficients |
| title_full |
Differential equations with natural matrices coefficients |
| title_fullStr |
Differential equations with natural matrices coefficients |
| title_full_unstemmed |
Differential equations with natural matrices coefficients |
| title_sort |
Differential equations with natural matrices coefficients |
| dc.creator.fl_str_mv |
Acosta-Humánez, P. Ramírez-López, J. |
| dc.contributor.author.none.fl_str_mv |
Acosta-Humánez, P. Ramírez-López, J. |
| dc.subject.eng.fl_str_mv |
Differential equations Differential algebra |
| topic |
Differential equations Differential algebra |
| description |
In this paper we present the main results of the master thesis in applied mathematics of the second named author, which was supervised by the first named author. Such results, and for instance this paper, concerns to some differential and algebraic results involving natural matrices. The problem of solving differential equations is very ancient and is very important to get explicit solutions of differential equations to be applied in physics and other areas. In this paper, as well in the master thesis, we study the differential and algebraic structure of linear differential equations with natural matrix coefficients and generalizations. These results are original and important for researchers interested in differential algebra and applications of differential equations. |
| publishDate |
2020 |
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2020-06-23T17:08:25Z |
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2020-06-23T17:08:25Z |
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2020 |
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Artículo científico |
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17426596 |
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https://hdl.handle.net/20.500.12442/5971 |
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https://doi.org/10.1088/1742-6596/1514/1/012015 |
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17426596 |
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https://hdl.handle.net/20.500.12442/5971 https://doi.org/10.1088/1742-6596/1514/1/012015 |
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eng |
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eng |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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openAccess |
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pdf |
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IOP Publishing |
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Journal of Physics: Conference Series |
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Vol. 1514 (2020) |
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Universidad Simón Bolívar |
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Acosta-Humánez, P.4fa7634d-7d29-4f96-a6cb-627a48cb7570Ramírez-López, J.61729cbc-87ff-46fe-9be4-3b768356607b2020-06-23T17:08:25Z2020-06-23T17:08:25Z202017426596https://hdl.handle.net/20.500.12442/5971https://doi.org/10.1088/1742-6596/1514/1/012015In this paper we present the main results of the master thesis in applied mathematics of the second named author, which was supervised by the first named author. Such results, and for instance this paper, concerns to some differential and algebraic results involving natural matrices. The problem of solving differential equations is very ancient and is very important to get explicit solutions of differential equations to be applied in physics and other areas. In this paper, as well in the master thesis, we study the differential and algebraic structure of linear differential equations with natural matrix coefficients and generalizations. These results are original and important for researchers interested in differential algebra and applications of differential equations.pdfengIOP PublishingAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Journal of Physics: Conference SeriesVol. 1514 (2020)Differential equationsDifferential algebraDifferential equations with natural matrices coefficientsinfo:eu-repo/semantics/articleArtículo científicohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Ramírez J, Gorrostola J 1998 Matrices naturales y sumas sucesivas V Congreso Nacional de Estudiantes de Matemáticas ACEM (Colombia: Universidad de Córdoba)Ramírez J, Gorrostola J 2014 Matrices naturales Memorias X Encuentro Internacional de Matemáticas (EIMAT) (Colombia: Universidad del Atlántico)Ramírez J, Gorrostola, J 2015 Suma sucesiva Revista MATUA 2 48Ramírez J, Gorrostola J 2015 Proyecciones de las matrices naturales en el estudio de la teoría del pegar y reversar y en la fundamentación matemática de la raíz digital aplicada en programación Memorias XI Encuentro Internacional de Matemáticas (EIMAT) (Colombia: Universidad del Atlántico)Ramírez J, Gorrostola, J 2015 Matrices naturales Revista MATUA 4 21Acosta-Humánez P 2003 La operación pegamiento y el cuadrado de números naturales Civilizar 3 85Acosta-Humanez P, Molano P, Rodríguez A 2015 Algunas observaciones sobre pegar y reversar en números Naturales Revista MATUA 2 65Hernández P 2009 Sobre la raíz digital de los números primos Revista Digital Matemáticas 10(1) 1Acosta-Humánez P 2006 La teoría de Morales-Ramis y el algoritmo de Kovacic Lecturas Matemáticas (2) 21Acosta-Humánez P B 2014 Métodos algebraicos en sistemas dinámicos (Colombia: Ediciones Universidad del Atlántico)Charris J A, Aldana B, Acosta-Humánez P 2013 Algebra. Fundamentos, Grupos, Anillos, Cuerpos y Teoría de Galois (Colombia: Academia Colombiana de Ciencias Exactas, Físicas y Naturales)Acosta-Humánez, Pérez J H 2007 Teoria de Galois diferencial: Una aproximación Matemáticas: Enseñanza Universitaria 15(2) 91Acosta-Humánez P B 2009 Nonautonomous Hamiltonian systems and Morales–Ramis theory I. The Case ̈x=f(x,t) SIAM Journal on Applied Dynamical Systems 8(1) 279Acosta-Humánez P, Lázaro Ochoa J, Morales-Ruiz J, Pantazi C 2015 On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory Discrete and Continuous Dynamical Systems 35(5) 1767Acosta-Humánez P 2010 Galoisian Approach to Supersymmetric Quantum Mechanics: The integrability analysis the Schrödinger equation by means of differential Galois Theory (Germany: VDM Publishng)Acosta-Humánez P, Jiménez G 2019 Some tastings in Morales-Ramis Theory Journal of Physics: Conference Series 1414(012011) 1Acosta-Humánez P, Lázaro Ochoa J, Morales-Ruiz J, Pantazi C 2018 Differential Galois theory and nonintegrability of planar polynomial vector fields Journal of Differential Equations 264(12) 7183ORIGINALPDF.pdfPDF.pdfPDFapplication/pdf602937https://bonga.unisimon.edu.co/bitstreams/26f017f0-92cd-4346-86a6-dca97d5c4308/download5fda2c50d911479f8e6f01ab5b0224efMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://bonga.unisimon.edu.co/bitstreams/e6f2d89e-1ba5-480a-8d7b-db885d81e302/download4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-8381https://bonga.unisimon.edu.co/bitstreams/9599e3c6-a044-4c3e-ab85-52c976fa0063/download733bec43a0bf5ade4d97db708e29b185MD53TEXTDifferential_Equations_With_Natural_Matrices_Coefficients.pdf.txtDifferential_Equations_With_Natural_Matrices_Coefficients.pdf.txtExtracted texttext/plain14627https://bonga.unisimon.edu.co/bitstreams/5f03647a-828e-473e-b638-dbfcd8c644db/downloadff9a0e84aa5b19838da9bb2bc06e9f35MD54PDF.pdf.txtPDF.pdf.txtExtracted texttext/plain15144https://bonga.unisimon.edu.co/bitstreams/0e6ef830-bee8-47a9-bcb7-f423a57cf8b4/downloadee5e9ba7d6acbfd25874bf9a65c7e3a5MD56THUMBNAILDifferential_Equations_With_Natural_Matrices_Coefficients.pdf.jpgDifferential_Equations_With_Natural_Matrices_Coefficients.pdf.jpgGenerated Thumbnailimage/jpeg1397https://bonga.unisimon.edu.co/bitstreams/68244224-5e85-4c53-8444-5c405d194091/downloadf914fa41a35f9c93e627a4db0531ceb9MD55PDF.pdf.jpgPDF.pdf.jpgGenerated Thumbnailimage/jpeg3576https://bonga.unisimon.edu.co/bitstreams/73fcfc97-6453-439c-8148-6ddd47137ab8/download236c3c29e29dcffd5ef2b5d7ac41bc3aMD5720.500.12442/5971oai:bonga.unisimon.edu.co:20.500.12442/59712024-08-14 21:54:33.289http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internacionalopen.accesshttps://bonga.unisimon.edu.coRepositorio Digital Universidad Simón Bolívarrepositorio.digital@unisimon.edu.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 |