Impulsive semilinear differential inclusions: Topological structure of the solution set and solutions on non-compact domains
β Scribed by Tiziana Cardinali; Paola Rubbioni
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 304 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper we establish the topological regularity of the solution set of differential inclusions with constraints, defined in \(\mathbb{R}^{n}\). The result is then extended to systems defined in Banach spaces. Our proof makes use of an approximation result by Lipschitz functions of Caratheodory
The main goal of this paper is to prove two Aronszajn type theorems for some initial value problems formulated in terms of fractional derivatives. Moreover, we are going to establish a theorem on the existence and uniqueness of positive solutions.