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On the Modified Third Method in the Pursuit Problem for Differential-Difference Equations of Neutral Type

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Abstract

In this paper, we study linear differential games described by a system of linear differential-difference equations of neutral type under geometric constraints on the controls of the players. Modified third method in the pursuit problem and modified method of directional pursuit are established for differential-difference equations of neutral type. We obtain new sufficient conditions on parameters of the process guaranteeing finishing the game in a definite finite time.

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Funding

This work is funded by the Uzbek Foundation for Basic Research, project no. OT-F4-33.

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Authors and Affiliations

  1. National University of Uzbekistan named after M. Ulugbek, 4 Universitetskaya str., Vuzgorodok, 100174, Tashkent, Republic of Uzbekistan

    N. A. Mamadaliev

  2. Andijan State University, 129 Universitetskaya str., 170100, Andijan, Republic of Uzbekistan

    T. T. Ibaydullaev

Authors
  1. N. A. Mamadaliev
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  2. T. T. Ibaydullaev
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Corresponding authors

Correspondence to N. A. Mamadaliev or T. T. Ibaydullaev.

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 11, pp. 21–33.

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Mamadaliev, N.A., Ibaydullaev, T.T. On the Modified Third Method in the Pursuit Problem for Differential-Difference Equations of Neutral Type. Russ Math. 65, 18–28 (2021). https://doi.org/10.3103/S1066369X21110037

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  • DOI: https://doi.org/10.3103/S1066369X21110037

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