%0 Journal Article %A Mansimov, Kamil Bayramali oglu %D 2012 %I Begell House %K problem of optimal control, the system of nonlinear difference equations, nonlocal boundary conditions, modified procedure of the increment method, necessary condition of optimality, discrete Pontryagin maximum principle %N 9 %P 74-83 %R 10.1615/JAutomatInfScien.v44.i9.70 %T Necessary Optimality Conditions in a Discrete Control Problem with Nonlocal Boundary Conditions %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,14f071b7327b91d6,1915298715b604b4.html %V 44 %X A problem of optimal control, described by the system of nonlinear difference equations with nonlocal boundary conditions, is considered. Using the modified procedure of the increment method we prove the necessary condition of optimality of the discrete Pontryagin maximum principle type. The case of degeneration of the discrete maximum principle is studied separately. %8 2012-11-12