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On a differential game in a system described by an implicit differential-operator equation

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Abstract

We study a differential game of approach in a system whose dynamics is described by an implicit differential-operator equation unsolved for the time derivative. The coefficients of the equation are closed operators on Hilbert spaces. We consider applications to systems with distributed parameters described by partial differential equations that are not of the Kovalevskaya type.

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Authors and Affiliations

  1. Kharkiv National University, Kharkiv, Ukraine

    L. A. Vlasenko & A. G. Rutkas

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  1. L. A. Vlasenko
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  2. A. G. Rutkas
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Correspondence to L. A. Vlasenko.

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Original Russian Text © L.A. Vlasenko, A.G. Rutkas, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 6, pp. 785–795.

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Vlasenko, L.A., Rutkas, A.G. On a differential game in a system described by an implicit differential-operator equation. Diff Equat 51, 798–807 (2015). https://doi.org/10.1134/S0012266115060117

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  • DOI: https://doi.org/10.1134/S0012266115060117

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