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Existence theorems for a multivalued boundary value problem

Published online by Cambridge University Press:  17 April 2009

Salvatore A. Marano
Salvatore A. Marano
Affiliation:
Dipartimento di Matematica CittàUniversitaria Viale A. Doria, 6 – 95125 Catania, Italy
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Abstract

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Let F be a multifunction from [a, b] × ℝn × ℝn into ℝn, with non-empty closed convex values. In this paper we prove that, under suitable assumptions, the multivalued boundary value problem

has at least one solution u ∈ W2, p([a, b], ℝn). Next we point out some particular cases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 249 - 260
Copyright
Copyright © Australian Mathematical Society 1992

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