Periodic Matrix Boundary-Value Problems with Concentrated Delay

Аннотация

We establish necessary and sufficient conditions for the existence of solutions of a linear periodic matrix boundary-value problem for a system of differential equations with concentrated delay in the critical case. We deduce conditions for the existence of the best solution (in a sense of the least-squares method) of the linear periodic matrix boundary-value problem for a system of differential equations with concentrated delay and find this solution.