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Journal of Mathematical Sciences

, Volume 149, Issue 4, pp 1469–1482 | Cite as

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

  • V. V. Vlasov
  • D. A. Medvedev
Article

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.

Keywords

Sobolev Space Entire Function Strong Solution Functional Differential Equation Sharp Estimate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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