Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. First order increment formula for the functional is derived. Pontryagin’s maximum principle is proved by using the variations of admissible control.
M. J. Mardanov. Y. A. Sharifov. "Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions." Abstr. Appl. Anal. 2015 1 - 6, 2015. https://doi.org/10.1155/2015/428042