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Journal of Automation and Information Sciences

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 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

Volumen 46, Ausgabe 7, 2014, pp. 1-11
DOI: 10.1615/JAutomatInfScien.v46.i7.10
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ABSTRAKT

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.

REFERENZIERT VON
  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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