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- W1968292220 abstract "In this paper we will be concerned with the abstract semilinear equation x(Φ)(t) = Ax(Φ)(t) + F(t, xt(Φ)), t ⩾ τ, xτ(Φ) = Φ, where A represents the infinitesimal generator of a linear C0-semigroup in a Banach space and x∼(Φ) denotes the segment of the solution x due to the initial function Φ taken from −∞ up to t. Conditions for existence, continuous dependence, and regularity of solutions are given which are independent of the topology of the phase space, as well as conditions which guarantee the compactness of bounded orbits, even if exp(At) is not compact for t > 0." @default.
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- W1968292220 date "1981-03-01" @default.
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- W1968292220 title "Remarks on semilinear partial functional-differential equations with infinite delay" @default.
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- W1968292220 doi "https://doi.org/10.1016/0022-247x(81)90104-9" @default.
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