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Numerical Functional Analysis and Optimization Volume 24, 2003 - Issue 1-2
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Original Articles

Eigenparameter Dependent Inverse Sturm-Liouville Problems

C. Maeve McCarthy Department of Mathematics and Statistics, Murray State University, Murray, USA
&
William Rundell Department of Mathematics, Texas A & M University, Texas, USA
Pages 85-105 | Published online: 31 Aug 2006

Citations (15)

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Read on this site (4)

Yongxia Guo, Guangsheng Wei & Ruoxia Yao. (2020) Uniqueness theorems for the Dirac operator with eigenparameter boundary conditions and transmission conditions. Applicable Analysis 99:9, pages 1564-1578.
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Chuan Fu Yang. (2016) Inverse problems for Dirac equations polynomially depending on the spectral parameter. Applicable Analysis 95:6, pages 1280-1306.
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Chuan Fu Yang & Gui Lin Yuan. (2015) Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions. Applicable Analysis 94:7, pages 1460-1478.
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Chuan-Fu Yang & Xiao-Ping Yang. (2011) Inverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameter. Inverse Problems in Science and Engineering 19:7, pages 951-961.
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Articles from other publishers (11)

Yalçın Güldü & Merve Arslantaş. (2023) Inverse problems for discontinuous Dirac operator with eigenparameter dependent boundary and transmission conditions. Numerical Methods for Partial Differential Equations 39:4, pages 3020-3036.
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Yalçın Güldü & Ebru Mişe. (2021) On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function. AIMS Mathematics 6:4, pages 3686-3702.
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Simon Širca & Martin HorvatSimon Širca & Martin Horvat. 2018. Computational Methods in Physics. Computational Methods in Physics 691 766 .
Yi-Teng Hu, Chuan-Fu Yang & Xiao-Chuan Xu. (2017) Inverse nodal problems for the Sturm–Liouville operator with nonlocal integral conditions. Journal of Inverse and Ill-posed Problems 25:6, pages 799-806.
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Paul E. Sacks. 2015. Encyclopedia of Applied and Computational Mathematics. Encyclopedia of Applied and Computational Mathematics 735 740 .
Khanlar R Mamedov & F Ayca Cetinkaya. (2013) Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition. Boundary Value Problems 2013:1.
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Chuan Fu Yang & Vyacheslav N. Pivovarchik. (2011) Inverse Nodal Problem for Dirac System with Spectral Parameter in Boundary Conditions. Complex Analysis and Operator Theory 7:4, pages 1211-1230.
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Simon Sirca & Martin HorvatSimon Širca & Martin Horvat. 2012. Computational Methods for Physicists. Computational Methods for Physicists 401 465 .
Lidia Aceto, Paolo Ghelardoni & Marco Marletta. (2008) Numerical solution of forward and inverse Sturm–Liouville problems with an angular momentum singularity. Inverse Problems 24:1, pages 015001.
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Namig J Guliyev. (2005) Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions. Inverse Problems 21:4, pages 1315-1330.
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William Rundell & Paul Sacks. (2004) Numerical technique for the inverse resonance problem. Journal of Computational and Applied Mathematics 170:2, pages 337-347.
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