Baranovs'ka L. The linear differential-difference games of approach

The thesis is dedicated to investigation the games of approach for linear dynamics differential-difference systems by the Method of Resolving Functions. It was constructed and illustrated on the examples the schemes of the method for such differential-difference games with lag: fixed and nonfixed time, objects with different inertia, group of the pursuers and one evader. The author generalized the First Direct Method of L.S.Pontryagin, developed the scheme of the Method of Resolving Functions and its modification, wich was illustrated on an example, for differential-difference games of neutral type. The suggested method is compared with the First Direct Method of L.S.Pontryagin. It is shown that the time of Resolving Functions' Method is less than the time of Pontryagin's First Direct Method.