[Authors] V. N. Malozemov and A. V. Omel'chenko [Title] On a discrete problem of optimal control with explicit solution [AMS Subj-class] 70Q05 Control of mechanical systems 65K10 Optimization and variational techniques 90C39 Dynamic programming [Abstract] The two-dimensional discrete problem of optimal control is considered. In this problem is required that the first component admits the given value and the second component reaches the largest value on the last step. The explicit solution of this problem is obtained under some assumptions. [Comments] LaTeX, 7 pp., Russian [Contact e-mail] malv@gamma.math.spbu.ru