On the convergence and approximation of integrated semigroups

DOI10.1006/jmaa.1994.1007zbMath0815.47053OpenAlexW1990445229MaRDI QIDQ1323226

Carlos Lizama

Publication date: 16 June 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1007

zbMATH Keywords

Cauchy problemTrotter-Kato theoremintegrated semigroupsconvergence and approximation of strongly continuous semigroupsintegrated version of a Laplace theoretical approach

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (12)

Approximation of local convoluted semigroups ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families ⋮ A parameter property of classical solutions of Cauchy problems ⋮ Approximations of Laplace transforms and integrated semigroups ⋮ Convoluted \(C\)-cosine functions and semigroups. Relations with ultradistribution and hyperfunction sines ⋮ On the approximations of derivatives of integrated semigroups. II ⋮ On approximation and representation of \(k\)-regularized resolvent families ⋮ Integrated semigroups and higher-order abstract equations ⋮ Rational approximation schemes for solutions of the first and second order Cauchy problem ⋮ On a class of time-fractional differential equations ⋮ On the approximations of derivatives of integrated semigroups

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