The problem of mayer for discrete and differential inclusions with initial boundary constraints

ÇİÇEK G., Mahmudov E.

Applied Mathematics and Information Sciences, cilt.10, sa.5, ss.1719-1728, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.18576/amis/100510
  • Dergi Adı: Applied Mathematics and Information Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1719-1728
  • Anahtar Kelimeler: Adjoint multivalued approximation, Discrete differential inclusion, Dual cone, Euler-Lagrange, Local tent, Mayer problem, Second order transversality
  • İstanbul Üniversitesi Adresli: Evet

Özet

In the present paper we consider the Mayer Problem for Second Order Differential Inclusions with initial boundary constraints. We derive the approximation conditions for the problem. Locally adjoint mapping is our basic tool to formulate necessary and sufficient conditions for the optimality of the discrete approximation problem. Then by passing to the limit, sufficient optimality conditions to the optimal problem described by differential inclusions are established.