Saïdi, Soumia; Yarou, Mustapha Fateh Optimal control problems governed by time dependent subdifferential operators with delay. (English) Zbl 1345.49005 Numer. Funct. Anal. Optim. 37, No. 6, 786-804 (2016). Summary: This article is devoted to the study, in the infinite dimensional setting, of a Bolza-type problem governed by a class of functional evolution inclusion, which involves a time-dependent subdifferential operator with a time-delay perturbation. We present a relaxation result associated with such equations, where the controls are Young measures, in order to show the existence of an optimal solution under a suitable convexity assumption. Cited in 3 Documents MSC: 49J21 Existence theories for optimal control problems involving relations other than differential equations 49J52 Nonsmooth analysis 49J53 Set-valued and variational analysis 49J45 Methods involving semicontinuity and convergence; relaxation 34G25 Evolution inclusions 34A60 Ordinary differential inclusions Keywords:optimal control; subdifferential operator; differential inclusions; set-valued maps; absolutely continuous maps; delay perturbed problem; relaxation; Young measures PDFBibTeX XMLCite \textit{S. Saïdi} and \textit{M. F. Yarou}, Numer. Funct. Anal. Optim. 37, No. 6, 786--804 (2016; Zbl 1345.49005) Full Text: DOI References: [1] DOI: 10.1016/0022-247X(83)90143-9 · Zbl 0517.49002 [2] Castaing C., J. Nonlinear Convex Anal 5 pp 131– (2004) [3] Castaing C., Young Measures on Topological Spaces with Applications in Control Theory and Probability Theory (2004) · Zbl 1067.28001 [4] Castaing C., J. Nonlinear Convex Anal 2 pp 217– (2001) [5] DOI: 10.1007/BFb0087685 [6] DOI: 10.1090/S0002-9947-1966-0203543-3 [7] DOI: 10.1090/surv/015 [8] DOI: 10.1007/s10107-005-0619-y · Zbl 1124.49010 [9] DOI: 10.1007/s11228-007-0065-5 · Zbl 1194.49003 [10] DOI: 10.1090/S0002-9947-1974-0347383-8 [11] DOI: 10.1512/iumj.1984.33.33040 · Zbl 1169.91317 [12] DOI: 10.1080/01630563.2013.807287 · Zbl 1288.34057 [13] DOI: 10.7151/dmdico.1159 · Zbl 1327.34121 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.