V. I. Tsurkov J. Appl. Math. Mech. , 45 , 01.1982 , p. 101-106, language: английский ISSN 0021-8928  Аннотация The decomposition using introduction of macrovariables is applied to control systems with distributed parameters, which are described parabolic partial differential equations. The main statements for the iterative process are provided: criterion of optimality of intermediate solution and local monotonicity with respect to the functional of initial problem.  Ключевые слова systems with distributed parameters; intermediate solution; local monotonicity