A class of impulsive differential variational inequalities in finite dimensional spaces. Issue 13 (September 2016)

• Record Type: Journal Article
• Authors: Li, Xue-song; Huang, Nan-jing; O׳Regan, Donal
• Is Part Of: Journal of the Franklin Institute. Volume 353:Issue 13(2016:Aug.)
• Page Start: 3151
• Page End: 3175
• Publication Date: 2016-09
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2016.06.011
• Languages: English
• ISSNs: 0016-0032

Abstract

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.