Continuity of restrictions of \((a,k)\)-regularized resolvent families to invariant subspaces

DOI10.11650/twjm/1500405354zbMath1191.47057OpenAlexW4244791518MaRDI QIDQ1026967

Sen-Yen Shaw, Hsiang Liu

Publication date: 30 June 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405354

zbMATH Keywords

integrated semigroupcosine operator functionresolvent family

Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Integrated semigroups (47D62)

Related Items (3)

General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1\) in Banach spaces] ⋮ The maximal subspace for generation of \((a, k)\)-regularized families ⋮ On a functional equation associated with \((a, k)\)-regularized resolvent families

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