<p><i>We consider constructions related to the alternative solvability of a nonlinear differential game (meaning the Krasovskii–Subbotin alternative) under the conditions of generalized uniqueness and uniform boundedness of the generalized trajectories used by A.&#xa0;V.&#xa0;Kryazhimskiy. The constructions use procedures based on the method of program iterations.</i></p>

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ALTERNATIVE IN DIFFERENTIAL GAME FOR SYSTEMS WITH PROPERTIES OF GENERALIZED UNIQUENESS AND UNIFORM BOUNDEDNESS

  • Alexander Chentsov,
  • Dmitrii Serkov

摘要

We consider constructions related to the alternative solvability of a nonlinear differential game (meaning the Krasovskii–Subbotin alternative) under the conditions of generalized uniqueness and uniform boundedness of the generalized trajectories used by A. V. Kryazhimskiy. The constructions use procedures based on the method of program iterations.