论文标题

具有光谱参数的微分方程溶液的渐近学

Asymptotics of solutions of differential equations with a spectral parameter

论文作者

Yurko, V. A.

论文摘要

本文的主要目的是为具有光谱参数的线性普通微分方程构建所谓的Birkhoff型解决方案。这种解决方案在光谱理论的直接和反面问题中起着重要作用。在第1节中,我们构建了birkhoff型解决方案,用于n-ther阶微分方程。第2节专门用于微分方程的一阶系统。

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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