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Eurasian Mathematical Journal, 2013, том 4, номер 4, страницы 64–87
(Mi emj145)
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Эта публикация цитируется в 3 научных статьях (всего в 4 статьях)
Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative
N. D. Kopachevsky, E. V. Syomkina Department of Mathematics and Informatics, Taurida National V. Vernadsky University, Academician Vernadsky Ave. 4, 95007 Simferopol, Ukraine
Аннотация:
We consider the Cauchy problem for Volterra integro-differential secondorder linear equations which describe an evolution of dynamical systems with infinite numbers of degrees of freedom taking into account relaxation effects. Existence theorems for strong solutions for three classes of complete integro-differential second-order equations are obtained.
Ключевые слова и фразы:
Volterra integro-differential equation, $C_0$-semigroup, self-adjoint operator.
Поступила в редакцию: 25.10.2013
Образец цитирования:
N. D. Kopachevsky, E. V. Syomkina, “Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative”, Eurasian Math. J., 4:4 (2013), 64–87
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj145 https://www.mathnet.ru/rus/emj/v4/i4/p64
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Страница аннотации: | 300 | PDF полного текста: | 121 | Список литературы: | 56 |
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