A Note on the Propagators of Second Order Linear Differential Equations in Hilbert Spaces

DOI10.2307/2048600zbMath0746.47024OpenAlexW4240712494MaRDI QIDQ3982124

Liang Jin, Xio Tijun

Publication date: 26 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048600

zbMATH Keywords

propagatorssecond order differential equation

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (7)

Existence results for some damped second-order Volterra integro-differential equations ⋮ Boundary-value problems for the system of operator-differential equations in Banach and Hilbert spaces ⋮ Semigroups arising from elastic systems with dissipation ⋮ Semigroups arising from elastic systems with dissipation ⋮ Exponential stability of solutions for higher order abstract Cauchy problems ⋮ A characterization of norm continuity of propagators for second order abstract differential equations ⋮ Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces

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