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Condensing multivalued maps and semilinear differential inclusions in Banach spaces /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
W. de Gruyter,
2001.
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| Colección: | De Gruyter series in nonlinear analysis and applications ;
7. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- "Introduction"; "1 Multivalued maps: general properties"; "1.1 Continuity of multimaps"; "1.2 Operations on multimaps. Selections and approximations"; "1.3 Measurable multimaps and the superposition multioperator"; "Bibliographic notes"; "2 Measures of noncompactness and condensing multimaps"; "2.1 Measures of noncompactness"; "2.2 Condensing multimaps"; "Bibliographic notes"; "3 Topological degree theory for condensing multifields"; "3.1 The relative topological degree and fixed points of compact multimaps"; "3.2 Topological degree for condensing multifields."
- "3.3 The evaluation of the degree""3.4 The topological degree for condensing nonconvex-valued multimaps"; "3.5 Some properties of the fixed points set"; "3.6 Solvability of systems of inclusions with condensing multioperators"; "Bibliographic notes"; "4 Semigroups and measures of noncompactness"; "4.1 Semigroups: general facts"; "4.2 Measures of noncompactness in function spaces: measurability and integrability"; "4.3 Condensing semigroups"; "Bibliographic notes"; "5 Semilinear differential inclusions: initial problem"; "5.1 Integral multioperator."
- "5.2 Existence and continuous dependence theorems""5.3 The structure of the solutions set"; "5.4 The averaging principle"; "5.5 On inclusions with almost lower semicontinuous nonlinearities"; "Bibliographic notes"; "6 Semilinear inclusions: periodic problems"; "6.1 The integral multioperator for a periodic problem"; "6.2 The averaging principle for a periodic problem"; "6.3 The translation multioperator"; "Bibliographic notes"; "Bibliography"; "Index."