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, issue 10, 881-896
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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https://doi.org/10.1155/S1085337504406046
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:10:p:881-896
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