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Contemporary Mathematics. Fundamental Directions, 2014, Volume 52, Pages 3–141
(Mi cmfd264)
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This article is cited in 49 scientific papers (total in 49 papers)
Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
A. B. Muravnik JSC "Concern "Sozvezdie", Voronezh, Russia
Abstract:
In this monograph, we examine the Cauchy problem for second-order parabolic functional differential equations containing, in addition to differential operators, translation (generalized translation) operators acting with respect to spatial variables. The specified problems have important applications, such as the multilayer plates and envelopes theory, the diffusion processes theory, including biomathematical applications, models of nonlinear optics, etc. The main concern of the present work is the long-time behavior of solutions of studied problems.
Citation:
A. B. Muravnik, “Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem”, Partial differential equations, CMFD, 52, PFUR, M., 2014, 3–141; Journal of Mathematical Sciences, 216:3 (2016), 345–496
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https://www.mathnet.ru/eng/cmfd264 https://www.mathnet.ru/eng/cmfd/v52/p3
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Abstract page: | 828 | Full-text PDF : | 316 | References: | 97 |
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