Аңдатпа
In this work, we study controllability problem for linear integro-differential equation x˙=A(t)x+B(t)u(t)+C(t)∫abK(t,τ)w(τ)dτ+μ(t), t∈I=[t0,t1] with boundary conditions and some restrictions. For this problem we have obtained necessary and sufficient conditions of its solvability. The solution of initial problem is reduced to minimization of functional using minimizing sequences.