Abstract
We analyse the decay properties of the solution semigroup S(t) generated by the linear integrodifferential equationwhere the operator A is strictly positive self-adjoint with A–1 not necessarily compact. The asymptotic stability of S(t) is investigated in terms of the dependence of the parameter γ ∈ ℝ. In particular, we show that S(t) is not exponentially stable when γ ≠ 1.
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Schedule a callMore From: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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