Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration

Аннотация

We study the asymptotics of solutions of homogeneous nth-order differential equations with a cusp degeneration for the case in which the principal symbol has multiple roots. We describe a new method for constructing the asymptotics, which we call the repeated quantization method. Examples of application of the method are given.