A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations

Nguyen Van Minh and Ha Binh Minh

Abstract and Applied Analysis, 2004, vol. 2004, 1-16

Abstract:

Let u be a given bounded uniformly continuous mild solution of a higher-order abstract functional differential equation of delay or advance type. We give a so-called Massera-type criterion for the existence of a mild solution, which is a “spectral component” of u with spectrum similar to the one of the forcing term f . Various spectral criteria for the existence of almost periodic and quasiperiodic mild solutions are given.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:628672

DOI: 10.1155/S1085337504406046

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