A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations
Van Minh, Nguyen ; Minh, Ha Binh
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 881-896 / Harvested from Project Euclid
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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.
Publié le : 2004-11-11
Classification:  34K14,  34K30,  34G10,  34C27 
@article{1101306018,
     author = {Van Minh, Nguyen and Minh, Ha Binh},
     title = {A Massera-type criterion for almost
 periodic solutions of higher-order delay or advance
abstract functional differential equations},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 881-896},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1101306018}
}

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., Tome 2004 (2004) no. 1, pp.  881-896. http://gdmltest.u-ga.fr/item/1101306018/