"ON EVASION PROBLEM FOR THE CASE WHICH IMPOSED GEOMETRICALGRONWALL CON" by Bahrom Tadjiakhmatovich Samatov, Bakhodirjon Inomjon ugli Juraev et al.

Scientific Bulletin of Namangan State University

Article Title

ON EVASION PROBLEM FOR THE CASE WHICH IMPOSED GEOMETRICALGRONWALL CONSTRAINT

Authors

Bahrom Tadjiakhmatovich Samatov, Namangan state university, professor at the chair of Mathematics, DSc of physics-mathematics.
Bakhodirjon Inomjon ugli Juraev, Andijan state university, Scientific Researcher
Adakhambek Khasanbaevich Akbarov, Andijan state university, Doctorate

Abstract

The main aim of this work is to present some natural applications of Gronwall type inequalities in the Differential Games. We study the evasion problem for differential game of the first order when geometrical constraint imposed on control function of pursuer and Gronwall type constraint imposed on control function of evader. The Gronwall type constraint generalizes geometrical constraint. To solve the evasion problem, we suggest a particular strategy for evader and study its structure depending on the parameters. Here the new sufficient solvability conditions for solution of evasion problem will be proposed.

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References

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Erratum

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Recommended Citation

Samatov, Bahrom Tadjiakhmatovich; Juraev, Bakhodirjon Inomjon ugli; and Akbarov, Adakhambek Khasanbaevich (2020) "ON EVASION PROBLEM FOR THE CASE WHICH IMPOSED GEOMETRICALGRONWALL CONSTRAINT," Scientific Bulletin of Namangan State University: Vol. 2 : Iss. 5 , Article 1.
Available at: https://uzjournals.edu.uz/namdu/vol2/iss5/1

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