Caratheodory perturbation of a second-order differential inclusion with constraints

Date

2005-10-21

Authors

Amine, Saida
Morchadi, Radouan
Sajid, Said

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We prove the existence of local solutions for the second-order viability problem ẍ(t) ∈ ƒ(t,x(t), ẋ(t)) + F(x(t), ẋ(t)), x(t) ∈ K. Here K is a closed subset of ℝn, F is an upper semicontinuous multifunction with compact values contained in the subdifferential of a convex proper lower semicontinuous function V, and ƒ is a Carathéodory function.

Description

Keywords

Upper semicontinuous multifunction, Cyclically monotone, Caratheodory functions

Citation

Amine, S., Morchadi, R., & Sajid, S. (2005). Caratheodory perturbation of a second-order differential inclusion with constraints. <i>Electronic Journal of Differential Equations, 2005</i>(114), pp. 1-11.

Rights

Attribution 4.0 International

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