English

On the simpleness of zeros of Stokes multipliers

Classical Analysis and ODEs 2007-05-23 v1

Abstract

The aim of this paper is to discuss the simpleness of zeros of Stokes multipliers associated with the differential equation Φ(X)+W(X)Φ(X)=0-\Phi''(X) + W(X)\Phi(X) =0, where W(X)=Xm+a1Xm1+...+am W(X) = X^{m} +a_{1}X^{m-1}+... +a_{m} is a real monic polynomial. We show that, under a suitable hypothesis on the coefficients aka_k, all the zeros of the Stokes multipliers are simple.

Keywords

Cite

@article{arxiv.math/0503159,
  title  = {On the simpleness of zeros of Stokes multipliers},
  author = {D. T. Trinh},
  journal= {arXiv preprint arXiv:math/0503159},
  year   = {2007}
}