Title
A class of impulsive differential variational inequalities in finite dimensional spaces.
Abstract
In this paper, a new class of impulsive differential variational inequalities (IDVIs) are introduced and studied in finite dimensional Euclidean spaces. Some existence results on the solutions for the IDVIs are presented under suitable conditions and a convergence theorem of the discrete Euler time-dependent procedure for solving the IDVI is proved by using constructed discrete approximation methods for the impulsive differential inclusions (IDIs). The stability results concerned with the solutions of the IDVIs are also considered when the variation of initial data, impulsive perturbation and right-hand sides happens.
Year
DOI
Venue
2016
10.1016/j.jfranklin.2016.06.011
Journal of the Franklin Institute
Field
DocType
Volume
Convergence (routing),Differential inclusion,Mathematical optimization,Mathematical analysis,Euler's formula,Euclidean geometry,Mathematics,Perturbation (astronomy),Variational inequality
Journal
353
Issue
ISSN
Citations 
13
0016-0032
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Xue-song Li100.34
Nan-Jing Huang243870.72
Donal O'Regan316346.52