On the approximations of derivatives of integrated semigroups

DOI10.1515/JIIP.2010.024zbMath1279.34070OpenAlexW4244326701MaRDI QIDQ2874460

Miao Li, V. A. Morozov, Serguei Piskarev

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2010.024

zbMATH Keywords

Banach spacesdiscrete semigroupsill-posed problemsregularization procedureintegrated semigroupsdiscretization methodsstability of difference schemesabstract differential equations in Banach spacesC0-semigroupsthe Trotter-Kato theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Integrated semigroups (47D62)

Related Items (4)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ On the approximation of fractional resolution families ⋮ On the approximations of derivatives of integrated semigroups. II ⋮ Stability of difference schemes for fractional equations

Cites Work

• Integrated semigroups
• On the convergence and approximation of integrated semigroups
• Semigroups of operators, cosine operator functions, and linear differential equations
• A method of increasing the accuracy of the solution of initial problems in banach space
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• Perturbations and approximations of integrated semigroups

This page was built for publication: On the approximations of derivatives of integrated semigroups