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Заглавие документа: | Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: I |
Авторы: | Lomovtsev, F. E. |
Тема: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
Дата публикации: | 2004 |
Библиографическое описание источника: | Differential Equations, Vol. 41, No. 2, 2005, pp. 272–283. Translated from Differentsial’nye Uravneniya, Vol. 41, No. 2, 2005, pp. 258–267. |
Аннотация: | Complete quasi-hyperbolic operator-differential equations of even order with constant domains were considered in [1, 2]. Quasi-hyperbolic operator-differential equations of even order with variable domains in the case of a two-term leading part were analyzed in [3]. Complete hyperbolic operator-differential equations of the second order with variable domains were investigated in [4, 5]. In the present paper, we generalize and improve the results of all above-mentioned papers and consider complete quasi-hyperbolic operator-differential equations of even order with variable domains. In applications, such equations include hyperbolic equations such that the coefficients in the equations and in the boundary conditions [3] smoothly depend on time, singular hyperbolic equations [4], and “hyperbolic” equations of higher-order in the space variables, represented in the second part of the present paper. |
URI документа: | http://elib.bsu.by/handle/123456789/10730 |
Располагается в коллекциях: | Архив статей механико-математического факультета до 2016 г. |
Полный текст документа:
Файл | Описание | Размер | Формат | |
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DU272(Lomovcev.I.2005.v.41.N2).pdf | 374,16 kB | Adobe PDF | Открыть |
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