2020/09/16 by Elimhan N. Mahmudov, Mahmudov, Elimhan N., Sevilay Demir Sağlam +2
Mathematics · #49K10 #49K15 #49Kxx #49M25 #93C55 #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #math.OC #msc:49K10 #msc:49K15 #msc:49Kxx #msc:49M25 #msc:93C55
paper · pdf · doi:10.48550/arxiv.2009.07512
arxiv created 2020/09/16 · openalex publication_date 2020/09/16 · arxiv updated 2020/09/17 · openalex created_date 2020/09/21 · openalex updated_date 2026/07/28
This paper deals with the optimization of Bolza problem with a system of convex and nonconvex, discrete and differential state variable inequality constraints of second order by deriving necessary and sufficient conditions for optimality. According to proposed discretization method and equivalence theorems for subdifferential inclusions, the problem with a system of discrete-approximation inequalities are investigated which highly contributes to the derivation of adjoint discrete inclusions generated by given system of nonlinear inequality constraints. Moreover, in the limit case, we obtain sufficient conditions for optimality of the continuous problem. A numerical example is presented to illustrate the theoretical result.