The problem of mayer for discrete and differential inclusions with initial boundary constraints
Applied Mathematics and Information Sciences, vol.10, no.5, pp.1719-1728, 2016 (Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 5
- Publication Date: 2016
- Doi Number: 10.18576/amis/100510
- Journal Name: Applied Mathematics and Information Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.1719-1728
- Keywords: Adjoint multivalued approximation, Discrete differential inclusion, Dual cone, Euler-Lagrange, Local tent, Mayer problem, Second order transversality
- Istanbul University Affiliated: Yes
Abstract
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.