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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

The Method of Resolving Functionals for a Dynamic Game in a Sobolev System

巻 46, 発行 7, 2014, pp. 1-11
DOI: 10.1615/JAutomatInfScien.v46.i7.10
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要約

We study the game approach problem for a distributed system which is described by a linear differential-operator equation of Sobolev type. To study the differential game the method of resolving functions is extended to the case of Hilbert spaces. The application to partial differential equations of not Kovalevskaya type is considered, in particular, to the investigation of filtering fluids in fractured-porous rocks.

によって引用された
  1. Chikrii A. A., Rutkas A. G., Vlasenko L. A., On a Differential Game in a System Described by a Functional Differential Equation, in Stability, Control and Differential Games, 2020. Crossref

  2. Vlasenko L. A., Rutkas A. G., Semenets V. V., Chikrii A. O., On a Descriptor Pursuit Game*, Cybernetics and Systems Analysis, 57, 6, 2021. Crossref

  3. Vlasenko L. A., Rutkas A. G., Chikrii A. A., On a Differential Game in a Stochastic System, Proceedings of the Steklov Institute of Mathematics, 309, S1, 2020. Crossref

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