Optimization of Initial Data for Linear Neutral Functional-Differential Equations with the Discontinuous Initial Condition

The necessary optimality conditions are obtained for initial data. Here initial data implies the collection of initial moment, delay parameter in phase coordinates, initial vector and functions. The discontinuous initial condition means that the values of the initial function and trajectory, generally, do not coincide at the initial moment. In this paper, the essential novelty are the optimality conditions of the initial moment and delay and the effect of discontinuity of the initial condition. An example is considered.