Some generalizations coming from the study of the discrete nagumo equation
The discrete Nagumo equation corresponds to: u ̇_n=d(u_(n-1)-2u_n+u_(n+1) )+f(u_n ), n ∈ Z and in this work we obtain results concerning the following generalization: u ̇_n=d(〖au〗_(n-1)+bu_n+〖cu〗_(n+1) )+f(u_n ), n ∈ Z With a, b and c being parameters such that a + b + c = 0 with a ≥ c ≥ 0. We have...
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| Format: | bachelorThesis |
| Sprache: | eng |
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2021
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| author | Ayala Bolagay, María José |
| author_facet | Ayala Bolagay, María José |
| author_role | author |
| collection | Repositorio Universidad Yachay Tech |
| dc.contributor.none.fl_str_mv | Acosta Orellana, Antonio Ramón |
| dc.creator.none.fl_str_mv | Ayala Bolagay, María José |
| dc.date.none.fl_str_mv | 2021-12 2022-01-06T14:43:01Z 2022-01-06T14:43:01Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://repositorio.yachaytech.edu.ec/handle/123456789/441 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Universidad de Investigación de Tecnología Experimental Yachay |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositorio Universidad Yachay Tech instname:Universidad Yachay Tech instacron:Yachay |
| dc.subject.none.fl_str_mv | Ecuación discreta de Nagumo Solución de onda viajera Teorema de Banach de punto fijo Teorema de Schauder de punto fijo Discrete Nagumo’s equation Traveling wave solution Banach Fixed Point Theorem Schauder Fixed Point Theorem |
| dc.title.none.fl_str_mv | Some generalizations coming from the study of the discrete nagumo equation |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/bachelorThesis |
| description | The discrete Nagumo equation corresponds to: u ̇_n=d(u_(n-1)-2u_n+u_(n+1) )+f(u_n ), n ∈ Z and in this work we obtain results concerning the following generalization: u ̇_n=d(〖au〗_(n-1)+bu_n+〖cu〗_(n+1) )+f(u_n ), n ∈ Z With a, b and c being parameters such that a + b + c = 0 with a ≥ c ≥ 0. We have obtained results that generalize part of the work developed by Bertram Zinner [1] and these constitute a starting point for later obtaining what would be the existence of solutions of the traveling wave type in the equation that we consider. |
| eu_rights_str_mv | openAccess |
| format | bachelorThesis |
| id | Yachay_ac6ceafd6e99519c6cfeb00a6593c7c3 |
| instacron_str | Yachay |
| institution | Yachay |
| instname_str | Universidad Yachay Tech |
| language | eng |
| network_acronym_str | Yachay |
| network_name_str | Repositorio Universidad Yachay Tech |
| oai_identifier_str | oai:repositorio.yachaytech.edu.ec:123456789/441 |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Universidad de Investigación de Tecnología Experimental Yachay |
| reponame_str | Repositorio Universidad Yachay Tech |
| repository.mail.fl_str_mv | . |
| repository.name.fl_str_mv | Repositorio Universidad Yachay Tech - Universidad Yachay Tech |
| repository_id_str | 10284 |
| spelling | Some generalizations coming from the study of the discrete nagumo equationAyala Bolagay, María JoséEcuación discreta de NagumoSolución de onda viajeraTeorema de Banach de punto fijoTeorema de Schauder de punto fijoDiscrete Nagumo’s equationTraveling wave solutionBanach Fixed Point TheoremSchauder Fixed Point TheoremThe discrete Nagumo equation corresponds to: u ̇_n=d(u_(n-1)-2u_n+u_(n+1) )+f(u_n ), n ∈ Z and in this work we obtain results concerning the following generalization: u ̇_n=d(〖au〗_(n-1)+bu_n+〖cu〗_(n+1) )+f(u_n ), n ∈ Z With a, b and c being parameters such that a + b + c = 0 with a ≥ c ≥ 0. We have obtained results that generalize part of the work developed by Bertram Zinner [1] and these constitute a starting point for later obtaining what would be the existence of solutions of the traveling wave type in the equation that we consider.La ecuación discreta de Nagumo corresponde a: u ̇_n=d(u_(n-1)-2u_n+u_(n+1) )+f(u_n ), n ∈ Z y en este trabajo se obtienen resultados concernientes a la siguiente generalización: u ̇_n=d(〖au〗_(n-1)+bu_n+〖cu〗_(n+1) )+f(u_n ), n ∈ Z siendo a, b y c parámetros tales que a + b + c = 0 con a ≥ c ≥ 0. Se han obtenido resultados que generalizan parte del trabajo desarrollado por Bertram Zinner [1] y estos constituyen un punto de partida para posterior obtención de lo que sería existencia de soluciones del tipo ondas viajeras en la ecuación que consideramos.Matemático/aUniversidad de Investigación de Tecnología Experimental YachayAcosta Orellana, Antonio Ramón2022-01-06T14:43:01Z2022-01-06T14:43:01Z2021-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bachelorThesisapplication/pdfhttp://repositorio.yachaytech.edu.ec/handle/123456789/441enginfo:eu-repo/semantics/openAccessreponame:Repositorio Universidad Yachay Techinstname:Universidad Yachay Techinstacron:Yachay2025-07-08T17:56:13Zoai:repositorio.yachaytech.edu.ec:123456789/441Institucionalhttps://repositorio.yachaytech.edu.ec/Universidad públicahttps://www.yachaytech.edu.ec/https://repositorio.yachaytech.edu.ec/oaiEcuador...opendoar:102842025-07-08T17:56:13falseInstitucionalhttps://repositorio.yachaytech.edu.ec/Universidad públicahttps://www.yachaytech.edu.ec/https://repositorio.yachaytech.edu.ec/oai.Ecuador...opendoar:102842025-07-08T17:56:13Repositorio Universidad Yachay Tech - Universidad Yachay Techfalse |
| spellingShingle | Some generalizations coming from the study of the discrete nagumo equation Ayala Bolagay, María José Ecuación discreta de Nagumo Solución de onda viajera Teorema de Banach de punto fijo Teorema de Schauder de punto fijo Discrete Nagumo’s equation Traveling wave solution Banach Fixed Point Theorem Schauder Fixed Point Theorem |
| status_str | publishedVersion |
| title | Some generalizations coming from the study of the discrete nagumo equation |
| title_full | Some generalizations coming from the study of the discrete nagumo equation |
| title_fullStr | Some generalizations coming from the study of the discrete nagumo equation |
| title_full_unstemmed | Some generalizations coming from the study of the discrete nagumo equation |
| title_short | Some generalizations coming from the study of the discrete nagumo equation |
| title_sort | Some generalizations coming from the study of the discrete nagumo equation |
| topic | Ecuación discreta de Nagumo Solución de onda viajera Teorema de Banach de punto fijo Teorema de Schauder de punto fijo Discrete Nagumo’s equation Traveling wave solution Banach Fixed Point Theorem Schauder Fixed Point Theorem |
| url | http://repositorio.yachaytech.edu.ec/handle/123456789/441 |