Schlesinger’s Equations for Upper Triangular Matrices and Their Solutions
- Авторлар: Lexin VP1
-
Мекемелер:
- State Socio-Humanitarian University
- Шығарылым: Том 64, № 1 (2018): Differential and Functional Differential Equations
- Беттер: 86-97
- Бөлім: New Results
- URL: https://journals.rcsi.science/2413-3639/article/view/347226
- DOI: https://doi.org/10.22363/2413-3639-2018-64-1-86-97
- ID: 347226
Дәйексөз келтіру
Толық мәтін
Аннотация
Әдебиет тізімі
- Болибрух А. А. Обратные задачи монодромии в аналитической теории дифференциальных уравнений. - М.: МЦНМО, 2009.
- Уиттекер Э. Т., Ватсон Дж. Н. Курс современного анализа. - М.: Физматлит, 1963.
- Aomoto K. On the structure of integrals of power product of linear functions// Sci. Papers College Gen. Edu. Univ. Tokyo. - 1977. - 27, № 2. - С. 49-61.
- Aomoto K. Founctions hyperlogarithmiques et groupes de monodromie unipotens// Sci. J. Fac. Sci. Univ. Tokyo. - 1978. - 25. - С. 149-156.
- Deligne P., Mostow G. D. Monodromy of hypergeometric functions and non-lattice integral monodromy// Publ. IHES. - 1986. - 63. - С. 5-90.
- Dragovich V., Schramchenko V. Algebro-geometric solutions to triangular Schlesinger systems// arxiv: 1604.01820v2[math.AG].
- Dubrovin B., Mazzocco M. On the reductions and classical solutions of the Schlesinger equations// В сб. «Differential Equations and Quantum Groups». - Strasburg: IRMA, 2007. - C. 157-187.
- Gontsov R. R., Leksin V. P. On the reducibility of Schlesinger isomonodromic families// В сб. «Analytic Methods of Analysis and Differential Equations: AMADE 2012». - Cambridge: Cambridge Sci. Publ., 2014. - C. 21-34.
- Kapovich M., Millson J. Quantization of bending deformations of polygons in E3, hypergeometric integrals and the Gassner representation// Can. Math. Bull. - 2001. - 44, № 1. - C. 36-60.
- Katz N., Oda T. On the differentiation of de Rham cohomology classes with respect to parameters// J. Math. Kyoto Univ. - 1968. - 8. - C. 199-213.
- Kohno T. Linear representations of braid groups and classical Yang-Baxter equations// Contemp. Math. - 1988. - 78. - C. 339-363.
- Leksin V. P. Isomonodromy deformations and hypergeometric-type systems// В сб. «Painleve´ Equations and Related Topics». - Berlin-Boston: Walther de Gruyter, 2012. - C. 117-122.
- Zˇoladek H. The Monodromy Group. - Basel-Boston-Berlin: Birkha¨user, 2006.
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