Strong and uniform mean stability of cosine and sine operator functions

DOI10.1016/j.jmaa.2006.08.011zbMath1123.47035OpenAlexW2069045267MaRDI QIDQ879064

Ryotaro Sato, Sen-Yen Shaw

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.011

zbMATH Keywords

sine functionAbel meanCesàro meancosine operator function\(C_{0}\)-semigroupdiscrete semigroupstrong mean stabilityuniform mean stability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09) (C)-semigroups, regularized semigroups (47D60)

Related Items

Almost automorphic mild solutions to fractional differential equations ⋮ Growth order and stability of semigroups and cosine operator functions ⋮ A novel algebraic characteristic of fractional resolvent families

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