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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832551777699889152 |
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| author | M. Janfada |
| author_facet | M. Janfada |
| author_sort | M. Janfada |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f7077304cb2442c3a1542b5957576e74 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f7077304cb2442c3a1542b5957576e742025-02-03T06:00:42ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/785428785428On Regularized Quasi-Semigroups and Evolution EquationsM. Janfada0Department of Mathematics, Sabzevar Tarbiat Moallem University, P.O. Box 397, Sabzevar, IranWe 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.http://dx.doi.org/10.1155/2010/785428 |
| spellingShingle | M. Janfada On Regularized Quasi-Semigroups and Evolution Equations Abstract and Applied Analysis |
| title | On Regularized Quasi-Semigroups and Evolution Equations |
| title_full | On Regularized Quasi-Semigroups and Evolution Equations |
| title_fullStr | On Regularized Quasi-Semigroups and Evolution Equations |
| title_full_unstemmed | On Regularized Quasi-Semigroups and Evolution Equations |
| title_short | On Regularized Quasi-Semigroups and Evolution Equations |
| title_sort | on regularized quasi semigroups and evolution equations |
| url | http://dx.doi.org/10.1155/2010/785428 |
| work_keys_str_mv | AT mjanfada onregularizedquasisemigroupsandevolutionequations |