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CHARLES CONLEY 1 Department of Mathematics University of Wisconsin
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accretive Amer Anal Appl applications assume asymptotic behavior asymptotic stability Axiom Banach space behavior of solutions boundary conditions boundary value problems bounded set Cesari compact constant continuous converges convex Corollary corresponding Dafermos deﬁned deﬁnition denote diffeomorphisms Diﬂerential dynamical systems eigenvalue elliptic example exists ﬁnd ﬁnite ﬁrst ﬁxed point ﬂow Fredholm functional differential equations given Hilbert space hyperbolic implies inﬁnite integral equations invariance principle LaSalle Lefschetz Lemma Leray—Schauder Liapunov function linear operator manifold mapping Math Mathematics matrix Mawhin method NFDE nonautonomous nonlinear nonwandering set norm ordinary differential equations partial differential equations periodic points periodic solutions perturbation positive Proc proof proved Q-stable RFDE rt(t satisﬁes satisfying Section semigroups sequence Smale solution operator stability structurally stable subset theory uniformly unique Univ unstable Volterra integral equations zero