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On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients. (English) Zbl 0217.15801


MSC:

45J05 Integro-ordinary differential equations

References:

[1] Hlaváček I.: Variational formulation of the Cauchy problem for equations with operator coefficients. Aplikace matematiky 16 (1971) 1, 46 - 63. · Zbl 0219.34046
[2] Lions J. L.: Equations differentielles operationnelles et problèmes aux limites. Grundlehren Math. Wiss., Bd. 111, Springer 1961. · Zbl 0098.31101
[3] Ладыженская О. А.: Смешанная загача для гиперболических уравнений. Москва 1953. · Zbl 1151.94459
[4] Люстерник Л. А., Соболев В. И.: Элементы функционального анализа. Москва 1951. · Zbl 1165.94313
[5] Achieser N. I., Glasmann I. M.: Theorie der linearen Operatoren im Hilbert-Raum. Akademie-Verlag Berlin 1958. · Zbl 0082.32702
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