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Eurasian Mathematical Journal, 2012, том 3, номер 4, страницы 10–22
(Mi emj101)
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Эта публикация цитируется в 9 научных статьях (всего в 9 статьях)
Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions
A. M. Akhtyamovab, V. A. Sadovnichyc, Ya. T. Sultanaevb a Bashkir State University, Ufa, Russia
b Mavlutov Institute of Mechanics, Russian Academy of Sciences, Ufa, Russia
c M. V. Lomonosov Moscow State University, Moscow, Russia
Аннотация:
Inverse Sturm–Liouville problems and generalizations of Borg's uniqueness theorem to the case of general boundary conditions are considered. Chudov, Marchenko, Krein, Karaseva and authors' generalizations are adduced. New generalizations of Borg, Marchenko and Karaseva's uniqueness theorem to the case of nonseparated boundary conditions are obtained. Appropriate examples and counterexample are given.
Ключевые слова и фразы:
inverse eigenvalue problem, inverse Sturm–Liouville problem, nonseparated boundary conditions.
Поступила в редакцию: 11.06.2012
Образец цитирования:
A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions”, Eurasian Math. J., 3:4 (2012), 10–22
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj101 https://www.mathnet.ru/rus/emj/v3/i4/p10
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Страница аннотации: | 625 | PDF полного текста: | 218 | Список литературы: | 97 |
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