Caratheodory perturbation of a second-order differential inclusion with constraints

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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.
URI
https://hdl.handle.net/10877/13786
Collections
Electronic Journal of Differential Equations