Geodesic
Periodic trajectories for evolution equations in Banach spaces
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Voisei, Mircea D.},
     title = {Periodic trajectories for evolution equations in {Banach} spaces},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a6/}
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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/