A Massera Type Criterion for Linear Functional Differential Equations with Advance and Delay

Author: Yong L.   Zhenghua L.   Zhaoxing L.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.200, Iss.3, 1996-06, pp. : 717-725

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Abstract

In this note, a Massera type criterion for the existence of periodic solutions for linear functional differential equations with advance and delay is established. Because of the presence of an advanced argument, the definition of the fundamental solution operator seems unknown. Hence a method different from the usual one is employed. Applications to periodic problems for nonlinear equations are also given.