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Contemporary Mathematics. Fundamental Directions, 2017, Volume 63, Issue 4, Pages 557–572
DOI: https://doi.org/10.22363/2413-3639-2017-63-4-557-572 (Mi cmfd335) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Existence of weak solution of the aggregation integro-differential equation

V. F. Vildanovaa, F. Kh. Mukminovbc

a Bashkir State Pedagogical University, 3a Oktyabrskoy Revolyutsii st., 450000 Ufa, Russia
b Institute of Mathematics with Computer Center of the RAS, 112 Chernyshevskogo st., 450008 Ufa, Russia
c Ufa State Aviation Technical University, 12 Karla Marksa st., 450008 Ufa, Russia
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DOI: https://doi.org/10.22363/2413-3639-2017-63-4-557-572
Abstract: In this work, we investigate the mixed problem for anisotropic integro-differential equation with variable nonlinearity indices. Using the discretization method with respect to time, we prove the existence of a weak solution in a bounded cylinder. We give an estimate of the lifetime of the solition.
Document Type: Article
UDC: 517.956.45+517.968.74
Language: Russian
Citation: V. F. Vildanova, F. Kh. Mukminov, “Existence of weak solution of the aggregation integro-differential equation”, Differential and functional differential equations, CMFD, 63, no. 4, Peoples' Friendship University of Russia, M., 2017, 557–572
Citation in format AMSBIB
\Bibitem{VilMuk17}
\by V.~F.~Vildanova, F.~Kh.~Mukminov
\paper Existence of weak solution of the aggregation integro-differential equation
\inbook Differential and functional differential equations
\serial CMFD
\yr 2017
\vol 63
\issue 4
\pages 557--572
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd335}
\crossref{https://doi.org/10.22363/2413-3639-2017-63-4-557-572}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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