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ArticleOriginal scientific text

Title

Second-order viability result in Banach spaces

Authors 1, 1

Affiliations

  1. University Hassan II-Mohammedia, U.F.R Mathematics and Applications, F.S.T, BP 146, Mohammedia, Morocco

Abstract

We show the existence result of viable solutions to the second-order differential inclusion ẍ(t) ∈ F(t,x(t),ẋ(t)), x(0) = x₀, ẋ(0) = y₀, x(t) ∈ K on [0,T], where K is a closed subset of a separable Banach space E and F(·,·,·) is a closed multifunction, integrably bounded, measurable with respect to the first argument and Lipschitz continuous with respect to the third argument.

Keywords

ENG
differential inclusion,viability, measurability, selection

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2010/30/1
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Pages:
5-21
Main language of publication
English
Received
2007-03-25
Published
2010

DOI: 10.7151/dmdico.1109

Exact and natural sciences