Inverse spectral-scattering problem for the Sturm-Liouville operator on a noncompact star-type graph
| العنوان: | Inverse spectral-scattering problem for the Sturm-Liouville operator on a noncompact star-type graph |
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| المؤلفون: | Gerhard Freiling, Sergey Buterin |
| المصدر: | Tamkang Journal of Mathematics. 44:327-349 |
| بيانات النشر: | Tamkang Journal of Mathematics, 2013. |
| سنة النشر: | 2013 |
| مصطلحات موضوعية: | Vertex (graph theory), Discrete mathematics, Scattering, Applied Mathematics, General Mathematics, Mathematik, Inverse, Sturm–Liouville theory, Mathematics::Spectral Theory, Type graph, Spectral data, Finite set, Mathematics |
| الوصف: | We study the Sturm-Liouville operator on a noncompact star-type graph consisting of a finite number of compact and noncompact edges under standard matching conditions in the internal vertex. We introduce and investigate the so-called spectral-scat\-tering data, which generalize the classical spectral data for the Sturm-Liouville operator on the half-line and the scattering data on the line. Developing the idea of the method of spectral mappings we prove that the specification of the spectral-scattering data uniquely determines the Sturm-Liouville operator on the graph. |
| تدمد: | 2073-9826 0049-2930 |
| DOI: | 10.5556/j.tkjm.44.2013.1422 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ae4059fefba4d1bd1b9f1ba92b67d66 https://doi.org/10.5556/j.tkjm.44.2013.1422 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....3ae4059fefba4d1bd1b9f1ba92b67d66 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 20739826 00492930 |
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| DOI: | 10.5556/j.tkjm.44.2013.1422 |