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УМН, 1975, том 30, выпуск 5(185), страницы 67–100 (Mi umn4238)  

Эта публикация цитируется в 242 научных статьях (всего в 243 статьях)

Асимптотика резольвенты штурм–лиувиллевских уравнений и алгебра уравнений Кортевега–де Фриза .

И. М. Гельфанд, Л. А. Дикий


Аннотация: Статья посвящена кругу вопросов, связанному с недавними результатами о нелинейных уравнениях типа Кортевега–де Фриза. Вторая глава имеет в основном обзорный характер и прослеживает связи этих уравнений с формулами следов. В первой главе развивается новый алгебраический формализм вариационного исчисления.

Полный текст: PDF файл (1625 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 1975, 30:5, 77–113

Реферативные базы данных:

УДК: 517.4+510.3
MSC: 34B24, 34E05, 37K10, 12D10
Поступила в редакцию: 26.05.1975

Образец цитирования: И. М. Гельфанд, Л. А. Дикий, “Асимптотика резольвенты штурм–лиувиллевских уравнений и алгебра уравнений Кортевега–де Фриза .”, УМН, 30:5(185) (1975), 67–100; Russian Math. Surveys, 30:5 (1975), 77–113

Цитирование в формате AMSBIB
\RBibitem{GelDik75}
\by И.~М.~Гельфанд, Л.~А.~Дикий
\paper Асимптотика резольвенты штурм--лиувиллевских уравнений и~алгебра уравнений Кортевега--де~Фриза .
\jour УМН
\yr 1975
\vol 30
\issue 5(185)
\pages 67--100
\mathnet{http://mi.mathnet.ru/umn4238}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=508337}
\zmath{https://zbmath.org/?q=an:0334.58007}
\transl
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 5
\pages 77--113
\crossref{https://doi.org/10.1070/RM1975v030n05ABEH001522}


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  • http://mi.mathnet.ru/umn4238
  • http://mi.mathnet.ru/rus/umn/v30/i5/p67

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    Эта публикация цитируется в следующих статьяx:
    1. Б. А. Дубровин, В. Б. Матвеев, С. П. Новиков, “Нелинейные уравнения типа Кортевега–де Фриза, конечнозонные линейные операторы и абелевы многообразия”, УМН, 31:1(187) (1976), 55–136  mathnet  mathscinet  zmath; B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146  crossref
    2. О. И. Богоявленский, С. П. Новиков, “О связи гамильтоновых формализмов стационарных и нестационарных задач”, Функц. анализ и его прил., 10:1 (1976), 9–13  mathnet  mathscinet  zmath; O. I. Bogoyavlenskii, S. P. Novikov, “The relationship between Hamiltonian formalisms of stationary and nonstationary problems”, Funct. Anal. Appl., 10:1 (1976), 8–11  crossref
    3. И. М. Гельфанд, Л. А. Дикий, “Структура алгебры Ли в формальном вариационном исчислении”, Функц. анализ и его прил., 10:1 (1976), 18–25  mathnet  mathscinet  zmath; I. M. Gel'fand, L. A. Dikii, “A Lie algebra structure in a formal variational calculation”, Funct. Anal. Appl., 10:1 (1976), 16–22  crossref
    4. О. И. Богоявленский, “Об интегралах высших стационарных уравнений КдФ и собственных числах оператора Хилла”, Функц. анализ и его прил., 10:2 (1976), 9–12  mathnet  mathscinet  zmath; O. I. Bogoyavlenskii, “Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator”, Funct. Anal. Appl., 10:2 (1976), 92–95  crossref
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