Optimization of Second Order Evolution Differential Inclusions Problem with Phase Con- straints

Çiçek G. , Mahmudov E.

3 rd INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES, İstanbul, Türkiye, 4 - 08 Eylül 2019, ss.40

  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayısı: ss.40


In this paper, for a problem second order evolution differential inclusions with phase constraints the op-

timality 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 in-

clusions 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.

Keywords: Second order differential inclusion, Locally dual mapping, evolution.