Analyticity of the propagators of second order linear differential equations in Banach spaces (Q1186843)
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scientific article; zbMATH DE number 37218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analyticity of the propagators of second order linear differential equations in Banach spaces |
scientific article; zbMATH DE number 37218 |
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Analyticity of the propagators of second order linear differential equations in Banach spaces (English)
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28 June 1992
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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.
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Cauchy problem
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abstract differential equation
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analyticity of the propagators
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analytic semigroup
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