TY  - JOUR
TI  - Optimization of Mayer functional in problems with discrete and differential
inclusions and viability constraints
AB  - This paper derives the optimality conditions for a Mayer problem with discrete and differential inclusions
with viable constraints. Applying necessary and sufficient conditions of problems with geometric constraints, we prove
optimality conditions for second order discrete inclusions. Using locally adjoint mapping, we derive Euler-Lagrange form
conditions and transversality conditions for the optimality of the discrete approximation problem. Passing to the limit,
we establish sufficient conditions to the optimal problem with viable constraints. Conditions ensuring the existence of
solutions to the viability problems for differential inclusions of second order have been studied in recent years. However,
optimization problems of second-order differential inclusions with viable constraints considered in this paper have not
been examined yet. The results presented here are motivated by practices for optimization of various fields as the mass
movement model well known in traffic balance and operations research.
AU  - Mahmudov, Elimhan
AU  - ÇIÇEK, GÜLSEREN
DO  - 10.3906/mat-2103-102
PY  - 2021
JO  - Turkish Journal of Mathematics
VL  - 45
IS  - 5
SN  - 1300-0098
SP  - 2084
EP  - 2102
DB  - TRDizin
UR  - http://search/yayin/detay/528686
ER  -