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The Darboux theory of integrability for planar polynomial differential equations is a classical field, with connections to Lie symmetries, differential algebra and other areas of mathematics. In the present paper we introduce the concepts, problems and inverse problems, and we outline some recent results on inverse problems. We also prove a new result, viz. a general finiteness theorem for the case of prescribed integrating factors. A number of relevant examples and applications is included.
| Idioma original | Anglès |
|---|---|
| Pàgines (de-a) | 0101-126 |
| Nombre de pàgines | 26 |
| Revista | Acta Applicandae Mathematicae |
| Volum | 120 |
| DOIs | |
| Estat de la publicació | Publicada - 2012 |
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Navegar pels temes de recerca de 'Inverse problems in Darboux' theory of integrability'. Junts formen un fingerprint únic.Projectes
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Sistemas dinámicos contínuos y discretos: bifurcaciones, orbitas periódicas, integrabilidad y aplicaciones
Torregrosa i Arús, J. (PI), Cima Mollet, A. M. (Investigador/a), Gasull Embid, A. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Mañosa Fernández, V. (Investigador/a), Artes Ferragud, J. C. (Investigador/a), Llibre Salo, J. (Investigador/a), Corbera Subirana, M. (Investigador/a), Pantazi ., C. (Investigador/a), Garrido Pelaez, J. M. (Col.laborador/a), Mañosas Capellades, F. (Col.laborador/a), Jimenez Ruiz, J. J. (Col.laborador/a), Mayayo Cortasa, T. (Col.laborador/a) & Villadelprat Yague, J. (Investigador/a)
1/09/23 → 31/08/26
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