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

الأصل · EN

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.