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arXiv · 2204.07505

Asymptotics of solutions of differential equations with a spectral parameter

V. A. Yurko
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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.

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V. A. Yurko. 2022-03-17. Asymptotics of solutions of differential equations with a spectral parameter. https://arxiv.org/abs/2204.07505

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