Functions and Analysis

    

Asymptotics of Solutions of Differential Equations with a Spectral Parameter

Authors: Vjacheslav A. Yurko

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.

Comments: 17 Pages.

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[v1] 2022-04-02 03:11:25

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