Existence of solutions of the nonautonomous abstract Cauchy problem of second order (Q382934)

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scientific article; zbMATH DE number 6232057
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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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