# Remarks on the method of comparison equations (generalized WKB method) and the generalized Ermakov-Pinney equation

@inproceedings{Kamenshchik2005RemarksOT, title={Remarks on the method of comparison equations (generalized WKB method) and the generalized Ermakov-Pinney equation}, author={Alexander Yu. Kamenshchik and Mattia Luzzi and Giovanni Venturi}, year={2005} }

The connection between the method of comparison equations (generalized WKB method) and the Ermakov-Pinney equation is established. A perturbative scheme of solution of the generalized Ermakov-Pinney equation is developed and is applied to the construction of perturbative series for second-order diﬀerential equations with and without turning points.

## 14 Citations

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### Energy exchange in the dissipative time-dependent harmonic oscillator: Physical interpretation of the Ermakov invariant

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