The work is devoted to the study of sufficient conditions for the existence and uniqueness of solutions of linear stochastic differential-functional equations with integral with fractional Brownian motion $B^{(H)}(t),\ H \in \left( \frac{1}{2},1 \right)$. The work also considers an analogue of the method of variation of constants for such equations, which is an important result in the study of conditions for exponential stability in the mean square trivial solution of these equations.

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