On the convergence and approximation of integrated semigroups (Q1323226)

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scientific article; zbMATH DE number 567026
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On the convergence and approximation of integrated semigroups
scientific article; zbMATH DE number 567026

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    On the convergence and approximation of integrated semigroups (English)
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    16 June 1994
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    The classical Trotter-Kato theorem on convergence and approximation of strongly continuous semigroups is extended to the concept of integrated semigroups. The proof relies on an integrated version of a Laplace theoretical approach to the classical Trotter-Kato theorem. Applications to the second order Cauchy problem are given.
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    Trotter-Kato theorem
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    convergence and approximation of strongly continuous semigroups
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    integrated semigroups
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    integrated version of a Laplace theoretical approach
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    Cauchy problem
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