| Autor: |
S. Cecchini, Luisa Malaguti |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 87, Pp 1-24 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1417-3875 |
| DOI: |
10.14232/ejqtde.2012.1.87 |
| Popis: |
The paper deals with a semilinear evolution equation in a reflexive and separable Banach space. The non-linear term is multivalued, upper Caratheodory and it depends on a retarded argument. The existence of global almost exact, i.e. classical, solutions is investigated. The results are based on a continuation principle for condensing multifields and the required transversalities derive from the introduction of suitable generalized guiding functions. As a consequence, the equation has a bounded globally viable set.The results are new also in the lack of retard and in the single valued case. A brief discussion of a non-local diffusion model completes this investigation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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