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

Pub Date : 2024-07-08 DOI:10.1134/s0012266124030017
I. S. Lomov
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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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具有奇异势的 Sturm-Liouville 算子带参数问题解的渐近特性研究
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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