Periodic Trajectories for Evolution Equations in Banach Spaces
نویسنده
چکیده
The existence of periodic solutions for the evolution equation y′(t) + Ay(t) 3 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 Carathéodory mapping. Two examples concerning nonlinear parabolic equations are presented.
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