Abstract

The inverse problem concerns how to reconstruct the operator from given spectral data. The main goal of this paper is to address nonlinear inverse Sturm–Liouville problem with multiple delays. By using a new technique and method: zero function extension, we establish the uniqueness result and practical method for recovering the nonlinear inverse problem from two spectra.

中文翻译：

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多时滞Sturm-Liouville算子非线性反问题的唯一性

摘要

逆问题涉及如何根据给定的光谱数据重建算子。本文的主要目标是解决具有多重延迟的非线性逆 Sturm-Liouville 问题。通过使用一种新的技术和方法：零函数扩展，我们建立了从两个谱恢复非线性反问题的唯一性结果和实用方法。