V.G. Rzayeva.
Necessary optimality conditions in one control problem with a multipoint quality functional

We consider the problem of finding the minimum value of a multipoint functional quality determined on solutions bysystems of nonlinear equations of the Volterra type. Taking one version of the increment method, the necessary optimality conditions are proved.

Keywords: Volterra integral equation, Increment method, Analogue of Pontryagin's maximum principle, Euler equations, Conjugate system of equations