A result on the singular perturbation theory for differential inclusions in Banach spaces | Zendy

Alessandra Andreini | Zendy; Mikhail Kamenskiĭ | Zendy; Paolo Nistri | Zendy

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A result on the singular perturbation theory for differential inclusions in Banach spaces

Author(s) -

Alessandra Andreini,

Mikhail Kamenskiĭ,

Paolo Nistri

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.001

Subject(s) - mathematics , differential inclusion , banach space , regular polygon , mathematical analysis , pure mathematics , perturbation (astronomy) , solution set , set (abstract data type) , physics , geometry , quantum mechanics , computer science , programming language

We provide conditions which ensure that the solutionset of the Cauchy problem for a singularly perturbed system of differentialinclusions in infinite dimensional Banach spaces is upper semicontinuous withrespect 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.

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