Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations
We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the global attractors of the flow generated by thi...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/625271 |
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| _version_ | 1832547501592281088 |
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| author | Severino Horácio da Silva Jocirei Dias Ferreira Flank David Morais Bezerra |
| author_facet | Severino Horácio da Silva Jocirei Dias Ferreira Flank David Morais Bezerra |
| author_sort | Severino Horácio da Silva |
| collection | DOAJ |
| description | We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the global attractors of the flow generated by this equation, with respect to functional parameter J. |
| format | Article |
| id | doaj-art-46f0d52f384d4c20a8c30f16fb6ec795 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-46f0d52f384d4c20a8c30f16fb6ec7952025-02-03T06:44:24ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/625271625271Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution EquationsSeverino Horácio da Silva0Jocirei Dias Ferreira1Flank David Morais Bezerra2Unidade Acadêmica de Matemática UAMAT/CCT/UFCG, Bairro Universitário, Rua Aprígio Veloso 882, 58429-900 Campina Grande, PB, BrazilInsituto de Ciencias Exatas e da Terra, Universidade Federal de Mato Grosso, Campus Universitário, Rodovia MT-100 Km 3,5, 78.698-000 Barra do Garças, MT, BrazilDepartamento de Matemática UFPB/CCEN, Cidade Universitária, Campus I, 58051-900 João Pessoa, PB, BrazilWe show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the global attractors of the flow generated by this equation, with respect to functional parameter J.http://dx.doi.org/10.1155/2014/625271 |
| spellingShingle | Severino Horácio da Silva Jocirei Dias Ferreira Flank David Morais Bezerra Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations International Journal of Differential Equations |
| title | Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations |
| title_full | Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations |
| title_fullStr | Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations |
| title_full_unstemmed | Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations |
| title_short | Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations |
| title_sort | normal hyperbolicity and continuity of global attractors for a nonlocal evolution equations |
| url | http://dx.doi.org/10.1155/2014/625271 |
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