On higher-order Stokes phenomena of an inhomogeneous linear ordinary differential equation
The author considers the particular integral of the differential equation \(d^2w/dz^2+u^2z^2w=e^{iu((1/2)z^2-4z)}\), where \(u\) is a large parameter. He determines the complete Stokes geometry, i.e., the active and inactive Stokes curves and the higher-order Stokes curve. (A Stokes curve to be inactive or a Stokes multiplier to change its value are events typical for higher-order Stokes phenomena.) He presents numerical examples and suggests how the study can be extended to more complicated problems.
scientific article; zbMATH DE number 2091438