Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators
The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/629692 |
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| _version_ | 1832561463315660800 |
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| author | N. Apreutesei V. Volpert |
| author_facet | N. Apreutesei V. Volpert |
| author_sort | N. Apreutesei |
| collection | DOAJ |
| description | The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property
and properness will be proved. This will allow one to define the topological degree. |
| format | Article |
| id | doaj-art-df7892c2bcb54436a4aee09ea5908523 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-df7892c2bcb54436a4aee09ea59085232025-02-03T01:25:05ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/629692629692Properness and Topological Degree for Nonlocal Reaction-Diffusion OperatorsN. Apreutesei0V. Volpert1Department of Mathematics, “Gh. Asachi” Technical University of Iasi, Bd. Carol. I, 700506 Iasi, RomaniaInstitut Camille Jordan, UMR 5208 CNRS, Université Lyon 1, 69622 Villeurbanne, FranceThe paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.http://dx.doi.org/10.1155/2011/629692 |
| spellingShingle | N. Apreutesei V. Volpert Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators Abstract and Applied Analysis |
| title | Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators |
| title_full | Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators |
| title_fullStr | Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators |
| title_full_unstemmed | Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators |
| title_short | Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators |
| title_sort | properness and topological degree for nonlocal reaction diffusion operators |
| url | http://dx.doi.org/10.1155/2011/629692 |
| work_keys_str_mv | AT napreutesei propernessandtopologicaldegreefornonlocalreactiondiffusionoperators AT vvolpert propernessandtopologicaldegreefornonlocalreactiondiffusionoperators |