Abstract

In this paper, we obtain sharp estimates for strong solutions of functional differential equations of neutral type. Our result is closely connected with our previous results devoted to the initial-value problem for above-mentioned equations in the scale of Sobolev spaces. To obtain our estimates of the solutions, we essentially use Riesz basis properties of the system of exponential solutions. The fact that they form a Riesz basis is one of the main results of this article.

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