A Viability Result for Second-Order Differential Inclusions

Date

2002-08-20

Authors

Lupulescu, Vasile

Journal Title

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Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We prove a viability result for the second-order differential inclusion x'' ∈ F(x,x'), (x(0), x'(0)) = (x0, y0) ∈ Q := K x Ω, where K is a closed and Ω is an open subsets of ℝm, and is an upper semicontinuous set-valued map with compact values, such that F(x, y) ⊂ ∂V(y), for some convex proper lower semicontinuous function V.

Description

Keywords

Second-order contingent set, Subdifferential, Viable solution

Citation

Lupulescu, V. (2002). A viability result for second-order differential inclusions. <i>Electronic Journal of Differential Equations, 2002</i>(76), pp. 1-12.

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Attribution 4.0 International

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