Partial inverse problems for quadratic differential pencils on a graph\n with a loop

2018/06/10 by Natalia P. Bondarenko, Bondarenko, Natalia P., Chung‐Tsun Shieh +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1806.03602

openalex publication_date 2018/06/10 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In this paper, partial inverse problems for the quadratic pencil of\nSturm-Liouville operators on a graph with a loop were studied. These problems\nconsist in recovering the pencil coefficients on one edge of the graph (a\nboundary edge or the loop) from spectral characteristics, while the\ncoefficients on the other edges are known a priori. We obtain uniqueness\ntheorems and constructive solutions for the partial inverse problems.\n

Cited by

• Stability of the inverse Sturm-Liouville problem on a graph with a cycle
• Quasiperiodic inverse Sturm-Liouville problem

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