A result on the singular perturbation theory for differential inclusions in Banach spaces
KeywordsSingularly perturbed systems, differential inclusions, condensing operators, locally convex spaces
AbstractWe provide conditions which ensure that the solution set of the Cauchy problem for a singularly perturbed system of differential inclusions in infinite dimensional Banach spaces is upper semicontinuous with respect to the parameter $\varepsilon\ge0$ of the perturbation. The main tools are represented by suitable introduced measures of noncompactness and the topological degree theory in locally convex spaces.
How to Cite
ANDREINI, Alessandra, KAMENSKIĬ, Mikhail I. & NISTRI, Paolo. A result on the singular perturbation theory for differential inclusions in Banach spaces. Topological Methods in Nonlinear Analysis [online]. 1 March 2000, T. 15, nr 1, s. 1–15. [accessed 29.3.2023].
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