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Analyticity of the propagators of second order linear differential equations in Banach spaces. (English) Zbl 0782.47041

Continuing the work of the authors in the study of the Cauchy problem for the following abstract differential equation \[ u''(t)+ Bu'(t)+ Au(t)=0,\qquad t\geq 0 \] the authors investigate the analyticity of the propagators of the above equation corresponding to the analytic semigroup theory.

MSC:

47D09 Operator sine and cosine functions and higher-order Cauchy problems
47D03 Groups and semigroups of linear operators
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References:

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