## Abstract and Applied Analysis

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

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2004, Number 10 (2004), 881-896.

Dates
First available in Project Euclid: 24 November 2004

https://projecteuclid.org/euclid.aaa/1101306018

Digital Object Identifier
doi:10.1155/S1085337504406046

Mathematical Reviews number (MathSciNet)
MR2123259

Zentralblatt MATH identifier
1081.34071

Subjects
Primary: 34K14: Almost and pseudo-periodic solutions 34K30
Secondary: 34G10 34C27

#### Citation

Van Minh, Nguyen; Minh, Ha Binh. A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations. Abstr. Appl. Anal. 2004 (2004), no. 10, 881--896. doi:10.1155/S1085337504406046. https://projecteuclid.org/euclid.aaa/1101306018