Geodesic
Periodic trajectories for evolution equations in Banach spaces
Electronic journal of differential equations, Tome 2005 (2005)
The existence of periodic solutions for the evolution equation

$ y'(t)+Ay(t)\ni F(t,y(t)) $

is investigated under considerably simple assumptions on $A$ and $F$. Here $X$ is a Banach space, the operator $A$ is $m$-accretive, $-A$ generates a compact semigroup, and $F$ is a Caratheodory mapping. Two examples concerning nonlinear parabolic equations are presented.
Classification : 47J35, 34C25, 35K55
Keywords: periodic solution, evolution equation of parabolic type 
@article{EJDE_2005__2005__a6,
     author = {Voisei,  Mircea D.},
     title = {Periodic trajectories for evolution equations in {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1095.47054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a6/}
}
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%J Electronic journal of differential equations
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Voisei,  Mircea D. Periodic trajectories for evolution equations in Banach spaces. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a6/