(a,k)-Regularized C-Resolvent Families: Regularity and Local Properties
We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles. We apply our results in the study of the backwa...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/858242 |
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| _version_ | 1850234610358681600 |
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| author | Marko Kostic |
| author_facet | Marko Kostic |
| author_sort | Marko Kostic |
| collection | DOAJ |
| description | We introduce the class of (local) (a,k)-regularized C-resolvent families and
discuss its basic structural properties. In particular, our analysis covers subjects
like regularity, perturbations, duality, spectral properties and subordination
principles. We apply our results in the study of the backwards fractional
diffusion-wave equation and provide several illustrative examples of differentiable
(a,k)-regularized C-resolvent families. |
| format | Article |
| id | doaj-art-1657a277b07f44339de121df508a48af |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1657a277b07f44339de121df508a48af2025-08-20T02:02:34ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/858242858242(a,k)-Regularized C-Resolvent Families: Regularity and Local PropertiesMarko Kostic0Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, SerbiaWe introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles. We apply our results in the study of the backwards fractional diffusion-wave equation and provide several illustrative examples of differentiable (a,k)-regularized C-resolvent families.http://dx.doi.org/10.1155/2009/858242 |
| spellingShingle | Marko Kostic (a,k)-Regularized C-Resolvent Families: Regularity and Local Properties Abstract and Applied Analysis |
| title | (a,k)-Regularized C-Resolvent Families: Regularity and Local Properties |
| title_full | (a,k)-Regularized C-Resolvent Families: Regularity and Local Properties |
| title_fullStr | (a,k)-Regularized C-Resolvent Families: Regularity and Local Properties |
| title_full_unstemmed | (a,k)-Regularized C-Resolvent Families: Regularity and Local Properties |
| title_short | (a,k)-Regularized C-Resolvent Families: Regularity and Local Properties |
| title_sort | a k regularized c resolvent families regularity and local properties |
| url | http://dx.doi.org/10.1155/2009/858242 |
| work_keys_str_mv | AT markokostic akregularizedcresolventfamiliesregularityandlocalproperties |