On Regularized Quasi-Semigroups and Evolution Equations
We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators. After some examples of such quasi-semigroups, the properties of this family of operators will be studied. A...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/785428 |
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| Summary: | We introduce the notion of regularized quasi-semigroup
of bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups of
operators. After some examples of such quasi-semigroups, the properties of this family of operators will be studied. Also some applications of regularized quasi-semigroups in the abstract evolution equations will be considered. Next some elementary perturbation results on regularized quasi-semigroups will be discussed. |
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| ISSN: | 1085-3375 1687-0409 |