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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2006 Volume 15, Pages 112–125 (Mi cmfd42)

This article is cited in 5 papers

On asymptotic properties of solutions of functional differential equations of neutral type

V. V. Vlasov, D. A. Medvedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 517.929


 English version:
Journal of Mathematical Sciences, 2008, 149:4, 1469–1482

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© Steklov Math. Inst. of RAS, 2026