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  • 47D09  (1)
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    Electronic Resource
    Electronic Resource
    Uniform continuity and compactness for resolvent families of operators (1995)
    Springer
    Acta applicandae mathematicae 38 (1995), S. 131-138 
    Details
    ISSN: 1572-9036
    Keywords: 45N05 ; 47D09 ; 47D06 ; resolvent families ; cosine families ; semigroups of operators
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We characterize the uniform continuity and the compactness of a resolvent family of operators {R(t)t⩾0 for a Volterra equation of convolution type denned in a Banach spaceX. In particular, we extend similar results to those for semigroups of operators and cosine families of operators studied in other works.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00992842
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