Chung‐Tsun Shieh

activity

20142025

most citedSturm-Liouville-type operators with frozen argument and Chebyshev polynomials

15 citations · 22 across the 6 of their papers we have counts for

collaborators

8 papers

math-ph2025

Plancherel-Pólya's Type of Instability in Vibration System with Multiple Frozen Arguments

Lung-Hui Chen, Chung-Tsun Shieh

We discuss the problem of the inverse spectral problem of Sturm-Liouville operator with multiple frozen arguments at ${a_{1}, a_{2}, \dots, a_{N}}$ in $(0, π)$ . One may consider th…

math.SP2025

Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph

Chung-Tsun Shieh, Tzong-Mo Tsai, Meng-Nien Wu

This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to b…

math.SP2024

Inverse spectral problem of Sturm-Liouville equation with many frozen arguments

Chung-Tsun Shieh, Tzong-Mo Tsai

This research was devoted to investigate the inverse spectral problem of Sturm-Liouville operator with many frozen arguments. Under some assumptions, the authors obtained uniquenes…

math.SP2021★ 15 cited

Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials

Tzong-Mo Tsai, Hsiao-Fan Liu, Sergey Buterin +2

The paper deals with Sturm-Liouville-type operators with frozen argument of the form $ℓ y := - y^{''} (x) + q (x) y (a),$ $y^{(α)} (0) = y^{(β)} (1) = 0,$ where $α, β \in {0, 1}$ and $a \in [0, 1]$ is…

math.SP2020★ 4 cited

An inverse spectral problem for second-order functional-differential pencils with two delays

S. A. Buterin, M. A. Malyugina, C. -T. Shieh

We consider a second order functional-differential pencil with two constant delays of the argument and study the inverse problem of recovering its coefficients from the spectra of…

math.SP2018

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

Natalia P. Bondarenko, Chung-Tsun Shieh

In this paper, partial inverse problems for the quadratic pencil of Sturm-Liouville operators on a graph with a loop were studied. These problems consist in recovering the pencil c…

math.SP2015

Partial inverse problems for Sturm-Liouville operators on trees

Natalia Bondarenko, Chung-Tsun Shieh

In this paper, inverse spectral problems for Sturm-Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, t…

math.SP2014★ 3 cited

Spectral analysis of the Dirac system with a singularity in an interior point

Oleg Gorbunov, Chung-Tsun Shieh, Vjacheslav Yurko

We study the non-selfadjoint Dirac system on the line having an non-integrable regular singularity in an interior point with additional matching conditions at the singular point. S…