Periodic trajectories for evolution equations in Banach spaces

The existence of periodic solutions for the evolution equation $$ y'(t)+Ay(t) i F(t,y(t)) $$ 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...

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Bibliographic Details
Main Author: Mircea D. Voisei
Format: Article
Language:English
Published: Texas State University 2005-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/103/abstr.html