具有奇异势的 Sturm-Liouville 算子带参数问题解的渐近特性研究

Pub Date : 2024-07-08 DOI:10.1134/s0012266124030017

I. S. Lomov

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引用次数: 0

摘要

摘要带奇异势的 Sturm-Liouville 算子定义在一个重线段上。在区间的内点规定了传递条件。算子势可能具有不可解奇点。对于带参数方程的考希问题的强解，在每个解的平滑区间上都得到了渐近公式和估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Study of the Asymptotic Properties of the Solution to a Problem with a Parameter for the Sturm–Liouville Operator with a Singular Potential

Abstract

The Sturm–Liouville operator with a singular potential is defined on an interval of the real line. Transmission conditions are specified at an interior point of the interval. The operator potential may have a nonintegrable singularity. For the strong solution of the Cauchy problem for an equation with a parameter, asymptotic formulas and estimates are obtained on each of the solution smoothness intervals.

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