ON ONE LINEAR INTEGRO-DIFFERENTIAL GAME IN HILBERT SPACE

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Authors: Mukhsinov Edgor Mirzoevich - Сandidate of Physical and Mathematical Sciences, Associate Professor of the Department of Mathematical Disciplines and Modern Natural Science, TSUPBP

 

 

JOURNAL NUMBER: 3(58). YEAR OF ISSUE2021. LANGUAGE OF THE ARTICLE: Russian

 

ANNOTATION

In a Hilbert space, the pursuit problem in the sense of L.S. Pontryagin for one integro-differential game described by a linear equation of fractional order α. The main theorem on the solvability of the pursuit problem is proved.

 

KEY WORDS

integro-differential game, pursuit problem, pursuit controls, evasion controls, pursuit time, Hilbert space.