Massera criterion for abstract functional differential equations with advance and delay

Author: Takeshi Nishikawa   Nguyen Van Minh   Toshiki Naito  

Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.83, Iss.11, 2004-11, pp. : 1171-1185

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

This article is concerned with the Massera criterion for periodic mild solutions of the equations of the form where A generates an analytic semigroup on a Banach space X , B is an L ( X )-valued function of bounded variation, and f is a continuous 1-periodic function. The obtained results extend recent ones [13 , 17] on the subject.