Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses

Feng Wang; Chuan-Fu Yang

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arXiv · 2305.14667

Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses

Feng Wang·Chuan-Fu Yang

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Abstract

We consider the vector-impulsive Sturm-Liouville problem with Neumann conditions. The Ambarzumyan$^{\textbf{,}}$s theorem for the problem is proved, which states that if the eigenvalues of the problem coincide with those of the zero potential, then the potential is zero.

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Feng Wang, Chuan-Fu Yang. 2023-05-24. Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses. https://arxiv.org/abs/2305.14667

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