On \(\alpha\)-times integrated C-cosine functions and abstract Cauchy problem. I

DOI10.1016/j.jmaa.2005.06.089zbMath1113.47033OpenAlexW2054687369MaRDI QIDQ2577150

Chung-Cheng Kuo

Publication date: 16 December 2005

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.2005.06.089

zbMATH Keywords

generatorexistenceuniquenessabstract Cauchy problemstrong solutions\(\alpha\)-times integrated \(C\)-cosine function

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (3)

Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ Strong and uniform mean stability of cosine and sine operator functions ⋮ Multiplicative perturbations of convoluted \(C\)-cosine functions and convoluted \(C\)-semigroups

Cites Work

• \(C\)-semigroups and the abstract Cauchy problem
• \(C\)-cosine functions and the abstract Cauchy problem. I
• Coercive differential operators and fractionally integrated cosine functions.
• On generators of integrated \(C\)-semigroups and \(C\)-cosine functions
• On α-times integrated C-semigroups and the abstract Cauchy problem
• Mild integrated C-existence families
• Strongly continuous integrated C-cosine operator functions
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