Thursday, January 17, 2013

1301.3567 (Stefan C. Mancas et al.)

Ermakov-Pinney equations with Abel-induced dissipation    [PDF]

Stefan C. Mancas, Haret C. Rosu
We introduce a dissipative Ermakov-Pinney system with the dissipation based on the corresponding integrable Abel equation. Then, based on a particular solution, we construct the general solution to dissipative Ermakov-Pinney equations of this type, including the cases of higher-order nonlinearities, by using the Ermakov invariant of the system
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