研究論文Publications

Yu Ping Wang; Chung-Tsun Shieh; Shahrbanoo Akbarpoor. Inverse Nodal Problems for Discontinuous Sturm–Liouville Operators and Their Numerical Solutions. Mathematical Methods in the Applied Sciences 49(12), 14266–14281 (2026). https://doi.org/10.1002/mma.70703

Haoze Ni; Chung-Tsun Shieh; Tzong-Mo Tsai; Yu Ping Wang. A Partial Inverse Nodal Problem for Sturm-Liouville Operators on Star-Shaped Graphs. Results in Mathematics 81(2), Article 42 (2026). https://doi.org/10.1007/s00025-026-02607-6

Chung-Tsun Shieh; Tzong-Mo Tsai; Jyh-Shyang Wu. Numerical Methods for Partial Inverse Spectral Problems with Frozen Arguments on Star-Shaped Graphs. Mathematics 14(1), Article 156 (2026). https://doi.org/10.3390/math14010156

Chung-Tsun Shieh; Tzong-Mo Tsai; Meng-Nien Wu. Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph. Results in Mathematics 80(7), Article 195 (2025). https://doi.org/10.1007/s00025-025-02511-5

Chung-Tsun Shieh; Tzong-Mo Tsai. Inverse spectral problems for Sturm-Liouville operators with many frozen arguments. Applied Mathematics and Computation 492, Article 129235 (2025). https://doi.org/10.1016/j.amc.2024.129235

Yu Ping Wang; Tzong-Mo Tsai; Shahrbanoo Akbarpoor; Chung-Tsun Shieh. Numerical solutions to inverse nodal problems for the Sturm–Liouville operator and their applications. Journal of Inverse and Ill-posed Problems 33(2), 269–280 (2025). https://doi.org/10.1515/jiip-2024-0077

Yu Ping Wang; Baki Keskin; Chung-Tsun Shieh. A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay. Journal of Inverse and Ill-posed Problems 31(4), 479–486 (2023). https://doi.org/10.1515/jiip-2020-0058

Wang Yu Ping; Chung-Tsun Shieh. On the reconstruction of a boundary value problem from incomplete nodal data. Results in Mathematics 78(3), Article 94 (2023). https://doi.org/10.1007/s00025-023-01875-w

Wang Yu Ping; Chung-Tsun Shieh; Yong Tang. The Partial Inverse Spectral Problems for a Differential Operator. Results in Mathematics 78(2), Article 44 (2023). https://doi.org/10.1007/s00025-022-01819-w

Tzong-Mo Tsai; Hsiao-Fan Liu; Sergey Buterin; Lung-Hui Chen; Chung-Tsun Shieh. Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials. Mathematical Methods in the Applied Sciences 45(16), 9635–9652 (2022). https://doi.org/10.1002/mma.8327

Lung-Hui Chen; Tzong-Mo Tsai; Chung-Tsun Shieh. Inverse resonance problem with partial information on the interval. Applicable Analysis 101(14), 4970–4981 (2022). https://doi.org/10.1080/00036811.2021.1877680

S.A. Buterin; M.A. Malyugina; C.-T. Shieh. An inverse spectral problem for second-order functional-differential pencils with two delays. Applied Mathematics and Computation 411, Article 126475 (2021). https://doi.org/10.1016/j.amc.2021.126475

Hikmet Koyunbakan; Chung-Tsun Shieh. Inverse nodal problem for polynomial potentials. Numerical Functional Analysis and Optimization 42(6), 671–678 (2021). https://doi.org/10.1080/01630563.2021.1920610

Yu Ping Wang; Chung-Tsun Shieh. Inverse problems for Sturm-Liouville operators on a compact equilateral graph by partial nodal data. Mathematical Methods in the Applied Sciences 44(1), 693–704 (2021). https://doi.org/10.1002/mma.6775

Yu Ping Wang; Chung-Tsun Shieh. Inverse problems for Sturm-Liouville operators on a star-shaped graph with mixed spectral data. Applicable Analysis 99(14), 2371–2380 (2020). https://doi.org/10.1080/00036811.2019.1566527

Yu Ping Wang; Chung-Tsun Shieh; Xianbiao Wei. Partial inverse nodal problems for differential pencils on a star-shaped graph. Mathematical Methods in the Applied Sciences 43(15), 8841–8855 (2020). https://doi.org/10.1002/mma.6574

Yu Ping Wang; Natalia Bondarenko; Chung Tsun Shieh. The inverse problem for differential pencils on a star-shaped graph with mixed spectral data. Science China Mathematics 63(8), 1559–1570 (2020). https://doi.org/10.1007/s11425-018-9485-3

Natalia P. Bondarenko; Chung-Tsun Shieh. Partial inverse problems for quadratic differential pencils on a graph with a loop. Journal of Inverse and Ill-posed Problems 28(3), 449–463 (2020). https://doi.org/10.1515/jiip-2018-0104

Yu Ping Wang; Wenju Zhao; Chung Tsun Shieh. Reconstruction for a class of the inverse transmission eigenvalue problem. Mathematical Methods in the Applied Sciences 42(18), 6660–6671 (2019). https://doi.org/10.1002/mma.5770

Y. P. Wang; Yiteng Hu; Chung-Tsun Shieh. The partial inverse nodal problem for differential pencils on a finite interval. Tamkang Journal of Mathematics 50(3), 307–319 (2019). https://doi.org/10.5556/j.tkjm.50.2019.3359

Murat Sat; Chung Tsun Shieh. Inverse nodal problems for integro-differential operators with a constant delay. Journal of Inverse and Ill-posed Problems 27(4), 501–509 (2019). https://doi.org/10.1515/jiip-2018-0088

Yu Ping Wang; V.A. Yurko; Chung Tsun Shieh. The uniqueness in inverse problems for Dirac operators with the interior twin-dense nodal subset. Journal of Mathematical Analysis and Applications 479(1), 1383–1402 (2019). https://doi.org/10.1016/j.jmaa.2019.07.003

Yi-teng Hu; Natalia Pavlovna Bondarenko; Chung-Tsun Shieh; Chuan-fu Yang. Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph. Applied Mathematics and Computation 363, Article 124606 (2019). https://doi.org/10.1016/j.amc.2019.124606

Yu Ping Wang; Chung Tsun Shieh; Hong Yi Miao. Reconstruction for Sturm-Liouville equations with a constant delay with twin-dense nodal subsets. Inverse Problems in Science and Engineering 27(5), 608–617 (2019). https://doi.org/10.1080/17415977.2018.1489803

Yu Ping Wang; Chung Tsun Shieh. The inverse interior transmission eigenvalue problem with mixed spectral data. Applied Mathematics and Computation 343, 285–298 (2019). https://doi.org/10.1016/j.amc.2018.09.014

Yu Ping Wang; Ko Ya Lien; Chung Tsun Shieh. On a uniqueness theorem of Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter. Boundary Value Problems 2018(1), Article 28 (2018). https://doi.org/10.1186/s13661-018-0948-4

Natalia Bondarenko; Chung-Tsun Shieh. Partial inverse problems for Sturm-Liouville operators on trees. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 147(5), 917–933 (2017). https://doi.org/10.1017/s0308210516000482

Yu Ping Wang; Ko Ya Lien; Chung-Tsun Shieh. Inverse problems for the boundary value problem with the interior nodal subsets. Applicable Analysis 96(7), 1229–1239 (2017). https://doi.org/10.1080/00036811.2016.1183770

Yu Ping Wang; Chung Tsun Shieh; Hong Yi Miao. Inverse transmission eigenvalue problems with the twin-dense nodal subset. Journal of Inverse and Ill-posed Problems 25(2), 237–249 (2017). https://doi.org/10.1515/jiip-2016-0021

Oleg Gorbunov; Chung-Tsun Shieh; Vjacheslav Yurko. Dirac system with a singularity in an interior point. Applicable Analysis 95(11), 2397–2414 (2016). https://doi.org/10.1080/00036811.2015.1091069

Ｗang Yu Ping; Shieh, Chung Tsun. Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information. Results in Mathematics 65(1–2), 105–119 (2014). https://doi.org/10.1007/s00025-013-0333-7

Wang, Yu Ping; Shieh, Chung Tsun; Ma, Yan Ting. Inverse spectral problems for Sturm-Liouville operators with partial information. Applied Mathematics Letters 26(12), 1175–1181 (2013). https://doi.org/10.1016/j.aml.2013.07.003

Buterin, Sergey A.; Shieh, Chung-Tsun; Yurko, Vjacheslav A. Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions. Boundary Value Problems 2013(1), Article 180 (2013). https://doi.org/10.1186/1687-2770-2013-180

Buterin, S. A.; Shieh, C.-T. Incomplete inverse spectral and nodal problems for differential pencils. Results in Mathematics 62(1–2), 167–179 (2012). https://doi.org/10.1007/s00025-011-0137-6

Chang, Tsorng-Hwa; Shieh, Chung-Tsun. Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval. Boundary Value Problems 2011(1), Article 40 (2011). https://doi.org/10.1186/1687-2770-2011-40

Shieh, Chung-Tsun; Buterin, S. A.; Ignatiev, Mikhail. On Hochstadt-Lieberman theorem for Sturm-Liouville operators. Far East Journal of Applied Mathematics 52(2), 131–146 (2011).

Kuryshova, Yulia V.; Shieh, Chung-Tsun. An inverse nodal problem for integro-differential operators. Journal of Inverse and Ill-posed Problems 18(4), 357–369 (2010). https://doi.org/10.1515/jiip.2010.014

Ignatiev, Mikhail Yu.; Shieh, Chung-Tsun. Recovering the Sturm-Liouville operator with singular potential using nodal data. Results in Mathematics 57(1–2), 183–194 (2010). https://doi.org/10.1007/s00025-009-0016-6

Buterin, S. A.; Shieh, Chung Tsun. Inverse nodal problem for differential pencils. Applied Mathematics Letters 22(8), 1240–1247 (2009). https://doi.org/10.1016/j.aml.2009.01.037

Shieh, Chung-Tsun; Yurko, V. A. Inverse nodal and inverse spectral problems for discontinuous boundary value problems. Journal of Mathematical Analysis and Applications 347(1), 266–272 (2008). https://doi.org/10.1016/j.jmaa.2008.05.097

Shieh, Chung-Tsun. Isospectral sets and inverse problems for vector-valued Sturm-Liouville equations. Inverse Problems 23(6), 2457–2468 (2007). https://doi.org/10.1088/0266-5611/23/6/011

Shieh, Chung-Tsun. On the behavior of the first eigenvalue of the spherical Laplacian operator on a spherical annulus. Mathematical Inequalities & Applications 9(1), 147–151 (2006). https://doi.org/10.7153/mia-09-15

Shieh, Chung-Tsun. On higher order eigenvalues of the spherical Laplacian operator. Taiwanese Journal of Mathematics 9(3), 521–530 (2005). https://doi.org/10.11650/twjm/1500407859

Cheng, Yan-Hsiou; Shieh, Chung-Tsun; Law, C. K. A vectorial inverse nodal problem. Proceedings of the American Mathematical Society 133(5), 1475–1484 (2005). https://doi.org/10.1090/s0002-9939-04-07679-8

Shieh, Chung-Tsun. Some inverse problems on Jacobi matrices. Inverse Problems 20(2), 589–600 (2004). https://doi.org/10.1088/0266-5611/20/2/018

Shieh, Chung-Tsun. On the second eigenvalue of the Laplace operator on a spherical band. Proceedings of the American Mathematical Society 132(1), 157–164 (2004). https://doi.org/10.1090/s0002-9939-03-07039-4

Shen, Chao-Liang; Shieh, Chung-Tsun. An inverse nodal problem for vectorial Sturm-Liouville equations. Inverse Problems 16(2), 349–356 (2000). https://doi.org/10.1088/0266-5611/16/2/306

Shen, Chao-Liang; Shieh, Chung-Tsun. On the multiplicity of eigenvalues of a vectorial Sturm-Liouville differential equation and some related spectral problems. Proceedings of the American Mathematical Society 127(10), 2943–2952 (1999). https://doi.org/10.1090/s0002-9939-99-05031-5

Shen, Chao-Liang; Shieh, Chung-Tsun. Two inverse eigenvalue problems for vectorial Sturm-Liouville equations. Inverse Problems 14(5), 1331–1343 (1998). https://doi.org/10.1088/0266-5611/14/5/016

Shen, Chao Liang; Shieh, Chung Tsun. Some properties of the first eigenvalue of the Laplace operator on the spherical bands in S². SIAM Journal on Mathematical Analysis 23(5), 1305–1308 (1992). https://doi.org/10.1137/0523073