Çiçek, GülserenMahmudov, Elimhan2024-07-122024-07-122019Çiçek, G. ve Mahmudov E. (2019). Optimization of second order evolution differential inclusions problem with phase constraints. International Conference of Mathematical Sciences (ICMS 2019). s. 40.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2128In this paper, for a problem second order evolution differential inclusions with phase constraints the optimality conditions are derived. Necessary and sufficient conditions ensuring the existence of a solution to the problems for evolution differential inclusions of second order have been studied in recent years. There are limited number of articles devoted to the optimization problem of second order evolution differential inclusions with phase constraints. We apply optimality conditions to problems with geometric constraints and conditions for second order discrete inclusions are proved. We use Locally Dual Mapping definition to derive necessary and sufficient conditions for the optimality of the discrete approximation problem. Passing to the limit, sufficient conditions to the optimal problem are established.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSecond order differential inclusionLocally dual mapping, evolutionArticle4040