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Anal analytic semigroup applications assume assumptions asymptotic Banach space Barbu bifurcation bounded set Brezis Cauchy problem compact condition consider constant continuous function convex Corollary defined denote dissipative operators domain eigenvalue equations in Banach estimate evolution equations exists fixed point flow-invariant functional differential equations given Hilbert space holds hypotheses of Theorem Iannelli implies inequality infinitesimal initial value problem integral equations integrodifferential equations invariant irreducible Lemma Liapunov function linear operator Lipschitz Lipschitz continuous lower semicontinuous m-accretive mapping Math mild solution monotone Moreover nonlinear semigroups norm obtain partial differential equations Pazy periodic solution Prato problem 1.1 Proof of Theorem Proposition prove Remark resolvent operator respect satisfies scalar semigroup Sinestrari solution of 2.1 stability strict solution strong solution strongly continuous subset Theorem 2.1 theory unique solution Volterra integral equations weak solution
Omari, Zanolin: Periodic solutions of Liénard equations