Asymptotics of solutions of differential equations with a spectral parameter
Classical Analysis and ODEs
2022-04-18 v1 Spectral Theory
Abstract
The main goal of this paper is to construct the so-called Birkhoff-type solutions for linear ordinary differential equations with a spectral parameter. Such solutions play an important role in direct and inverse problems of spectral theory. In Section 1, we construct the Birkhoff-type solutions for n-th order differential equations. Section 2 is devoted to first-order systems of differential equations.
Keywords
Cite
@article{arxiv.2204.07505,
title = {Asymptotics of solutions of differential equations with a spectral parameter},
author = {V. A. Yurko},
journal= {arXiv preprint arXiv:2204.07505},
year = {2022}
}