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.
| Original language | English |
|---|---|
| Pages (from-to) | 1719-1728 |
| Number of pages | 10 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 10 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016 NSP Natural Sciences Publishing Cor.
Keywords
- Adjoint multivalued approximation
- Discrete differential inclusion
- Dual cone
- Euler-Lagrange
- Local tent
- Mayer problem
- Second order transversality