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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 9, Pages 78–83 (Mi ivm9155)  
Brief communications

On stabilization of solutions of integrodifferential incomplete second-order equations

D. A. Zakoraab

a Crimean Federal University, 4 Academican Vernadskii Ave., Simferopol, 295007 Russia
b Voronezh State University, 1 Universitetskaya Sq., Voronezh, 394006 Russia
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Abstract: We consider abstract linear integrodifferential incomplete second-order equations in the Hilbert space. Operator coefficients of these equations are unbounded selfadjoint nonnegative operators. These equations arise naturally in the study of problems of viscoelasticity and hydroelasticity. We prove a theorem on asymptotic stability of strong solutions of these equations.
Keywords: integrodifferential equation, stability.
Funding agency Grant number
Russian Science Foundation 14-21-00066
Presented by the member of Editorial Board: V. G. Zvyagin
Received: 05.02.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 9, Pages 69–73
DOI: https://doi.org/10.3103/S1066369X16090097
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: D. A. Zakora, “On stabilization of solutions of integrodifferential incomplete second-order equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 9, 78–83; Russian Math. (Iz. VUZ), 60:9 (2016), 69–73
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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