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.
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Work partially supported by DICYT 91-33 and FONDECYT 91-0471.
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Lizama, C. Uniform continuity and compactness for resolvent families of operators. Acta Appl Math 38, 131–138 (1995). https://doi.org/10.1007/BF00992842
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DOI: https://doi.org/10.1007/BF00992842