A variation-of-constants formula for abstract functional differential equations in the phase space

Authors: Yoshiyuki Hino, Satoru Murakami, Toshiki Naito, Nguyễn Văn Minh,

https://doi.org/10.1006/jdeq.2001.4020

Publisher, magazine: ,

Publication year: 2002

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Abstract

For linear functional differential equations with infinite delay in a Banach space, a variation-of-constants formula is established in the phase space. As an application one applies it to study the admissibility of some spaces of functions whose spectra are contained in a closed subset of the real line.

Tags: functional differential equations; phase space; variation-of-constants formula; spectrum of functions; admissibility.