Unbounded Second-Order State-Dependent Moreau’s Sweeping Processes in Hilbert Spaces

Samir Adly () and Ba Khiet Le ()
Additional contact information
Samir Adly: XLIM UMR-CNRS 7252, Université de Limoges
Ba Khiet Le: Universidad de Chile

Journal of Optimization Theory and Applications, 2016, vol. 169, issue 2, No 4, 407-423

Abstract: Abstract In this paper, an existence and uniqueness result of a class of second-order sweeping processes, with velocity in the moving set under perturbation in infinite-dimensional Hilbert spaces, is studied by using an implicit discretization scheme. It is assumed that the moving set depends on the time, the state and is possibly unbounded. The assumptions on the Lipschitz continuity and the compactness of the moving set, and the linear growth boundedness of the perturbation force are weaker than the ones used in previous papers.

Keywords: Moreau’s sweeping process; Quasi-variational inequalities; Differential inclusion; 34A60; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-016-0905-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:169:y:2016:i:2:d:10.1007_s10957-016-0905-2

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-016-0905-2

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().