Title

Asymptotic Analysis Of Solutions Of A Radial Schr\odinger Equation With Oscillating Potential

Document Type

Article

Publication Date

1-1-2006

Publication Title

Mathematische Nachrichten

Department

Mathematics and Computer Science

Abstract

We are interested in the asymptotic behavior of solutions of a Schrödinger-type equation with oscillating potential which was studied by A. Its. Here we use a different technique, based on Levinson's Fundamental Lemma, to analyze the asymptotic behavior, and our approach leads to a complete asymptotic representation of the solutions. We also discuss formal simplifications for differential equations with what might be called “regular/irregular singular points with periodic coefficients”.

Volume

279

Issue

15

pp.

1641-1663

ISSN

0025-584X