Existence of solutions of the nonautonomous abstract Cauchy problem of second order (Q382934)
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scientific article; zbMATH DE number 6232057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions of the nonautonomous abstract Cauchy problem of second order |
scientific article; zbMATH DE number 6232057 |
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Existence of solutions of the nonautonomous abstract Cauchy problem of second order (English)
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22 November 2013
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This paper investigates the existence of mild solutions for a class of incomplete second order nonautonomous abstract Cauchy problems and the evolution operator (evolution family) associated to the homogeneous problems. Some results and applications are given.
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abstract Cauchy problem of second order
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mild solutions
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evolution operator
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cosine functions of operators
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exponential vectors
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