Voisei, Mircea D.2021-06-222021-06-222005-09-28Voisei, M. D. (2005). Periodic trajectories for evolution equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2005</i>(103), pp. 1-8.1072-6691https://hdl.handle.net/10877/13775The existence of periodic solutions for the evolution equation y'(t) + Ay(t) ∋ 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, adn F is a Carathéodory mapping. Two examples concerning nonlinear parabolic equations are presented.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalPeriodic solutionsEvolution equation of parabolic typePeriodic trajectories for evolution equations in Banach spacesArticle