Abstract
In this article we present a review of results on asymptotic behavior and stability of strong solutions for functional differential equations (FDE). We also formulate several results about spectral properties (completeness and basisness) of exponential solutions of the above-mentioned equations. It is relevant to emphasize that our approach for the research of FDE is based on the spectral analysis of operator pencils that are symbols (characteristic quasi-polynomials) with operator coefficients. The article is divided into two parts. The first part is devoted to the research on FDE in a Hilbert space; the second part is devoted to the research on FDE in a finite-dimensional space.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.