Existence of solutions of the nonautonomous abstract Cauchy problem of second order

DOI10.1007/S00233-013-9485-8zbMath1288.47039OpenAlexW2031662310MaRDI QIDQ382934

Hernán R. Henríquez

Publication date: 22 November 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9485-8

zbMATH Keywords

mild solutionsevolution operatorabstract Cauchy problem of second ordercosine functions of operatorsexponential vectors

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)

Related Items (5)

Approximate controllability of nonautonomous second-order nonlocal measure driven systems with state-dependent delay ⋮ Nonlinear perturbations of evolution systems in scales of Banach spaces ⋮ Linear evolution equations in scales of Banach spaces ⋮ Almost periodic solutions of periodic second order linear evolution equations ⋮ Approximate controllability of second-order stochastic non-autonomous integrodifferential inclusions by resolvent operators

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