Problems and methods of the fixed points of the maximum principle
The Bulletin of Irkutsk State University. Series Mathematics, Tome 14 (2015), pp. 31-41

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Necessary optimality conditions for optimal control problems in the form of the maximum principle are represented as a special problem of the fixed points of the constructed control operators. On the basis of the proposed approach are considered methods of searching controls, satisfying the maximum principle.
Keywords: maximum principle, fixed point problem, method of successive approximations.
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     author = {A. S. Buldaev},
     title = {Problems and methods of the fixed points of the maximum principle},
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A. S. Buldaev. Problems and methods of the fixed points of the maximum principle. The Bulletin of Irkutsk State University. Series Mathematics, Tome 14 (2015), pp. 31-41. http://geodesic.mathdoc.fr/item/IIGUM_2015_14_a2/