| dc.creator | HARET CODRATIAN ROSU | |
| dc.date | 2015 | |
| dc.date.accessioned | 2018-11-19T13:50:42Z | |
| dc.date.available | 2018-11-19T13:50:42Z | |
| dc.identifier | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/868 | |
| dc.identifier | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/899 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/2252022 | |
| dc.description | "We introduce a special type of dissipative Ermakov-Pinney equations of the form vζζ + g(v)vζ + h(v) = 0, where h(v) = h0(v) + cv−3 and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel equation. When h0(v) is a linear function, h0(v) = λ2v, general solutions are obtained following the Abel equation route. Based on particular solutions, we also provide general solutions containing a factor with the phase of the Milne type. In addition, the same kinds of general solutions are constructed for the cases of higher-order Reid nonlinearities. The Chiellini dissipative function is actually a dissipation-gain function because it can be negative on some intervals. We also examine the nonlinear case h0(v) = Ω20(v − v2) and show that it leads to an integrable hyperelliptic case." | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Elsevier | |
| dc.relation | info:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.amc.2015.02.037 | |
| dc.relation | citation:Stefan C. Mancas, Haret C. Rosu, Integrable equations with Ermakov–Pinney nonlinearities and Chiellini damping, Applied Mathematics and Computation, Volume 259, 2015, Pages 1-11, ISSN 0096-3003, http://dx.doi.org/10.1016/j.amc.2015.02.037. | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/Autor/Dissipative Ermakov-Pinney equation | |
| dc.subject | info:eu-repo/classification/Autor/Chiellini damping | |
| dc.subject | info:eu-repo/classification/Autor/Reid nonlinearities | |
| dc.subject | info:eu-repo/classification/Autor/Abel equation | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.title | Integrable equations with Ermakov–Pinney nonlinearities and Chiellini damping | |
| dc.type | Artículos de revistas | |
| dc.type | info:eu-repo/semantics/acceptedVersion | |
| dc.audience | generalPublic | |
