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GRONUOLL TIPIDAGI CHEGARALANISHLI CHIZIQLI DIFFERENSIAL O‘YIN UCHUN QOCHISH MASALASI

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ARTICLE ANNOTATION

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The main aim of this work is to present some natural applications of Gronwall type inequalities in the Differential Games. In the present, the evasion problem is studied in linear differential games when Gronwall type constraints imposed on control functions of players. The Gronwall type constraint generalizes geometrical constraint. To solve the evasion problem, we propose a particular strategy for evader and study its structure depending on the parameters. This work develops and extends the ideas of works of Isaacs, Petrosyan, Pshenichnii and other researchers, including the author. Here the new sufficient solvability conditions for evader will be proposed.

AUTHORS

B.Samatov

U.Soyibboev

A.Akbarov

Tags

# geometrik chegaralanish# Differential game# Differensial o‘yin# геометрическое ограничение# Gronuoll tengsizliklari# o‘yinchilar# qochish# Дифференциальные игры# неравенство Гронуолла# игроки# убегания# Gronwall’s inequalities# players# geometrical constraint# evasion

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