Castaing, C.; Ibrahim, A. G.; Yarou, M. Existence problems in second order evolution inclusions: discretization and variational approach. (English) Zbl 1173.35302 Taiwanese J. Math. 12, No. 6, 1433-1475 (2008). The authors consider a second order evolution inclusion with delay. The proofs of two existence results presented in the paper are based on a discretization techniques and involve the multivalued Scorza Dragoni theorem and multivalued Dugundji extension theorem. Finally some applications are indicated involving variational techniques, biting lemma, the characterization of the second dual of \(L^1_{\mathbb R^d}\) and Young measures. Reviewer: Leszek Gasiński (Kraków) Cited in 13 Documents MSC: 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs 47H04 Set-valued operators 35R10 Partial functional-differential equations Keywords:accretive; evolution inclusion; discretization technique; Young measure; inclusion with delay; multivalued Scorza Dragoni theorem; Young measures PDFBibTeX XMLCite \textit{C. Castaing} et al., Taiwanese J. Math. 12, No. 6, 1433--1475 (2008; Zbl 1173.35302) Full Text: DOI