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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 71–80 (Mi timm1116)  
This article is cited in 10 scientific papers (total in 10 papers)

On a differential game in a distributed system

L. A. Vlasenkoa, A. A. Chikriib

a Karazin Kharkiv National University
b Glushkov Institute of Cybernetics NAS Ukraine
Full-text PDF (194 kB) Citations (10)
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Abstract: We consider the game problem of approach for a system whose dynamics is described by a partial differential equation not of Kovalevskaya type, that is not solved in time derivative. In a Hilbert function space, the equation with boundary conditions are written in an abstract form as a differential operator equation. Using the method of resolving functionals, we obtain sufficient conditions for the approach of a dynamical vector of system to a cylindrical terminal set. Results are exemplified by means of a model problem concerning filtering fluids in fractured-porous rocks.
Keywords: differential game, set-valued mapping, resolving functional, partial differential equation, operator.
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 292, Issue 1, Pages 276–285
DOI: https://doi.org/10.1134/S0081543816020243
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: L. A. Vlasenko, A. A. Chikrii, “On a differential game in a distributed system”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 71–80; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 276–285
Citation in format AMSBIB
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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