Infinite-Dimensional Systems: Proceedings of the Conference on Operator Semigroups and Applications Held in Retzhof (Styria), Austria, June 5-11, 1983F. Kappel, W. Schappacher |
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adjoint Anal analytic approximation assume asymptotic behavior Au(t Banach lattice Banach space bounded compact consider constant defined delay differential equations denote Dirichlet eigenfunction elliptic operators equivalent estimate evolution equations exists finite forcing function semigroup functional differential equations given Graz hence Hilbert space holds hypotheses implies inequality infinite delay initial function semigroup integral equations Lemma linear operators Math Moreover nonlinear norm obtain parabolic equations partial differential equations perturbation positive semigroup proof of Theorem Proposition prove rate of convergence resolvent satisfies selfadjoint semigroup S(t sequence spectral strongly continuous strongly continuous semigroup subset subspace t₁ Theorem 2.1 theory u e D(A uniformly unique solution Volterra equations Volterra integral equations zero ε ε