Abstract
This paper studies spectral properties of linear retarded functional differential equations in Hilbert spaces with the emphasis on their relations to structural operators. The equations involve unbounded operators acting on the discrete and distributed delayed terms, and the operators acting on the instantaneous term are defined through sesquilinear forms. The main concern of this paper is studying the spectral properties of the infinitesimal generators associated with the solution semigroups by means of structural operators. The characterizations of eigenmanifolds are derived and the relations between the manifolds and structural operators are shown by using the properties of structural operators.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
