# Article

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Keywords:
linear functional differential equations; Cauchy problem; existence and uniqueness; differential inequalities
Summary:
Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the problem $u^{\prime }(t)=\ell (u)(t)+q(t), \qquad u(a)=c,$ where $\ell \:C(I,\mathbb R)\rightarrow L(I,\mathbb R)$ is a linear bounded operator, $q\in L(I,\mathbb R)$, and $c\in \mathbb R$, are established.
References:
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