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First Order Necessary Optimality Conditions for the Systems with Three-Point Boundary Conditions

Author(s): Shamo Djabrailov | Yaqub Sharifov

Journal: Selçuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: 9;
Issue: 2;
Start page: 83;
Date: 2008;
Original page

Keywords: Three-point boundary conditions | maximum principle | necessary conditions.

Optimal control problem with three point boundary conditions is considered in the paper. Using the increment formula for the first order functional the necessary conditions of optimality is obtained in the form of Pontryagin’s maximum principle. It is shown that for some particular cases the obtained necessary condition is sufficient at the same time.
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