A result on the singular perturbation theory for differential inclusions in Banach spaces
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Singularly perturbed systems, differential inclusions, condensing operators, locally convex spacesAbstrakt
We 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.Pobrania
Opublikowane
2000-03-01
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1.
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 marzec 2000, T. 15, nr 1, s. 1–15. [udostępniono 22.7.2024].
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