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E Ballotti and J A Goldstein
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abstract adjoint Anal applications assume assumptions asymptotic behavior Au(t Banach lattice Banach space bounded linear operators compact consider constant continuous function defined delay differential equations denote Dirichlet eigenfunction eigenvalue problem equivalent estimate evolution equations exists finite forcing function semigroup functional differential equations given Graz hence Hilbert space holds hypothesis implies infinite delay initial function semigroup integral equations Lemma linear operators Math Moreover nonlinear norm obtain parabolic equations partial differential equations perturbation positive eigenfunction positive semigroup proof of Theorem properties Proposition prove rate of convergence resolvent Riccati equation s.c. semigroup satisfies scalar Section semigroup S(t sequence stability strongly continuous strongly continuous semigroup subset subspace t e 0,T Theorem 2.1 theory u e P(A unique solution vectors Volterra equations Volterra integral equations zero