Reconstruction of Energy-Dependent Sturm–Liouville Equations from two Spectra
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2013/02/05
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Indian UGC (journal)
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Refrences49
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Citations32
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Nataliya Pronska
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Inverse spectral problems for energy-dependent Sturm–Liouville equations | Inverse Problems |
| 26 | 2012 |
| Determination of a differential pencil from interior spectral data | Journal of Mathematical Analysis and Applications |
| 21 | 2011 |
| 10.1017/S0013091506000150 | 2008 | |||
| Обратная спектральная задача для пучков дифференциальных операторов | Математический сборник | 8 | 2007 | |
| Spectral Theory of the Klein–Gordon Equation in Pontryagin Spaces | Communications in Mathematical Physics |
| 17 | 2006 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 15 |
| Science: Physics | 9 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 8 |
The category
Science: Mathematics 15
is the most frequently represented among the references in this article. It primarily includes studies from Inverse Problems and Journal of Mathematical Analysis and Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Local solvability and stability for the inverse Sturm‐Liouville problem with polynomials in the boundary conditions | Mathematical Methods in the Applied Sciences |
| 2024 | |
Inverse spectral problem for differential pencils with a frozen argument | Journal of Inverse and Ill-posed Problems |
| 2024 | |
| Solving the inverse Sturm–Liouville problem with singular potential and with polynomials in the boundary conditions | Analysis and Mathematical Physics |
| 1 | 2023 |
Trace Formulae for Second-Order Differential Pencils with a Frozen Argument | Mathematics |
| 2023 | |
On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions | Mathematical Methods in the Applied Sciences |
| 4 | 2022 |
Citations Analysis
The category
Science: Mathematics 16
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Integral Representations for the Solutions of the Generalized Schroedinger Equation in a Finite Interval and was published in 2015. The most recent citation comes from a 2024 study titled Inverse spectral problem for differential pencils with a frozen argument. This article reached its peak citation in 2015, with 18 citations. It has been cited in 12 different journals, 16% of which are open access. Among related journals, the Advances in Pure Mathematics cited this research the most, with 16 citations. The chart below illustrates the annual citation trends for this article.