Difference-differential game of convergence — evasion in Hilbert space, II

For conflict operated differential system with delay studying of dynamic game of convergence-evasion relatively functional goal set, now regarding evasion and solution of a problem of existence of alternative in the case under consideration is continued. In the work realization of condition of saddle point relatively to the right part of operated system is not supposed. Earlier similar tasks were set and solved for finite-dimensional space at scientific school of the academician N. N. Krasovsky. For a case of infinite-dimensional space of continuous functions similar tasks were considered by the author. In the suggested work at theorem proving about convergence–evasion, the norm of Hilbert space is used.