Solving first order autonomous algebraic ordinary differential equations by places
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/55321DOI: 10.1007/s11786-019-00431-6
ISSN: 1661-8270
Editor
Springer
Fecha de publicación
2019-12-17Patrocinadores
Agencia Estatal de Investigación
Austrian Science Fund (FWF)
Cita bibliográfica
Falkensteiner, S. & Sendra Pons, J.R. 2020, “Solving first order autonomous algebraic ordinary differential equations by places”, Mathematics in Computer Science, vol. 14, pp. 327-337.
Palabras clave
Algebraic autonomous differential equation
Algebraic curve
Local para-metrization
Place
Formal power series solution
Analytic solution
Proyectos
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/
P 31327-N32 (Austrian Science Fund)
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1007/s11786-019-00431-6Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2019 Springer
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
Given a first order autonomous algebraic ordinary differential equation, we present a method for computing formal power series solutions by means of places. We provide an algorithm for computing a full characterization of possible initial values, classified in terms of the number of distinct formal power series solutions extending them. In addition, if a particular initial value is given, we present a second algorithm that computes all the formal power series solutions, up to a suitable degree, corresponding to it. Furthermore, when the ground field is the field of the complex numbers, we prove that the computed formal power series solutions are all convergent in suitable neighborhoods.
Ficheros en el ítem
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Solving_Falkensteiner_Math_Com ... | 727.1Kb |
|
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Solving_Falkensteiner_Math_Com ... | 727.1Kb |
|
Colecciones
- MATEMATIC - Artículos [173]