Resurgent Deformations for an Ordinary Differential Equation of Order 2

  • Eric Delabaere, Jean-Marc Rasoamanana
  • Published 2008
We consider in the complex field the differential equation d dx Φ(x) = Pm(x, a) x Φ(x), where Pm is a monic polynomial function of order m with coefficients a = (a1, · · · , am). We investigate the asymptotic, resurgent, properties of the solutions at infinity, focusing in particular on the analytic dependence on a of the Stokes-Sibuya multipliers. Taking… CONTINUE READING