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Scientific Bulletin of Namangan State University

Abstract

In theory of differential games, the problems put geometric, integral and their being together constraints to controls were studied sufficiently. In this paper, the evasion problem of the second order differential game will be stuided in which case new control classes with the name of constraint of Gronwall type have been introduced to control functions.

First Page

3

Last Page

9

References

1. Gronwall T.H. (1919) Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. Ann. Math. 20(2):293–296. 2. Azamov A.A., Samatov B.T.(2010) The Π-Strategy: Analogies and Applications. The Fourth International Conference Game Theory and Management, St. Petersburg: 33 – 47. 3. Subbotin A.I., Chentsov A.G. (1981). Optimization of Guaranteed Result in Control Problems. Nauka, Moscow. 4. Jack K. Hale. (1980). Ordinary differential equations. Krieger Malabar, Florida: 28 – 37.

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