Asymptotic boundary value problems in Banach spaces
| Autor: | Ralf Bader, Jan Andres |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Continuation principle
Measure of noncompactness Pure mathematics Approximation property Condensing multimaps Applied Mathematics Mathematical analysis Banach space Fixed-point index Banach manifold Finite-rank operator Noncompact intervals Fréchet spaces Boundary value problems Compact space Fréchet space Fixed point index Differential inclusions in Banach spaces Lp space Bounded solutions Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 274(1):437-457 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/s0022-247x(02)00365-7 |
| Popis: | A continuation principle is given for solving boundary value problems on arbitrary (possibly infinite) intervals to Caratheodory differential inclusions in Banach spaces. For this aim, the appropriate fixed point index is defined to condensing decomposable multivalued operators in Frechet spaces. This index extends and unifies the one for compact maps in Andres et al. [Trans. Amer. Math. Soc. 351 (1999) 4861–4903] as well as the one for operators in Banach spaces in Bader [Ph.D. Thesis, University of Munich, 1995]. As an application, we prove the existence of an entirely bounded solution of a semilinear evolution inclusion. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect