Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces
Electronic journal of differential equations, Tome 2002 (2002)
We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equations having analytic semigroups. Our basic tool in this paper is the use of fractional powers of operators.
Classification :
34K05, 34K14, 34G20
Keywords: semilinear equation in Banach spaces, almost periodic solution, infinitesimal generator of analytic semigroups, fractional powers
Keywords: semilinear equation in Banach spaces, almost periodic solution, infinitesimal generator of analytic semigroups, fractional powers
@article{EJDE_2002__2002__a109,
author = {Bahaj, Mohamed and Sidki, Omar},
title = {Almost periodic solutions of semilinear equations with analytic semigroups in {Banach} spaces},
journal = {Electronic journal of differential equations},
year = {2002},
volume = {2002},
zbl = {1026.34050},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a109/}
}
TY - JOUR AU - Bahaj, Mohamed AU - Sidki, Omar TI - Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces JO - Electronic journal of differential equations PY - 2002 VL - 2002 UR - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a109/ LA - en ID - EJDE_2002__2002__a109 ER -
Bahaj, Mohamed; Sidki, Omar. Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a109/