Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations
Aulbach, Bernd ; Minh, Nguyen Van
Abstr. Appl. Anal., Tome 5 (2000) no. 1, p. 245-263 / Harvested from Project Euclid
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We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the solutions of the underlying functional differential equation. The representation theorem is then used to study the boundedness and almost periodicity of solutions of a class of nonautonomous functional differential equations.
Publié le : 2000-05-14
Classification:  34K05,  34C27,  34G20,  47H20 
@article{1049999354,
     author = {Aulbach, Bernd and Minh, Nguyen Van},
     title = {Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations},
     journal = {Abstr. Appl. Anal.},
     volume = {5},
     number = {1},
     year = {2000},
     pages = { 245-263},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049999354}
}

Aulbach, Bernd; Minh, Nguyen Van. Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations. Abstr. Appl. Anal., Tome 5 (2000) no. 1, pp.  245-263. http://gdmltest.u-ga.fr/item/1049999354/