The proposed method of differentiation of regions on budget performance. It is based on the use of mathematical apparatus in the form of multivariate methods to increase the objectivity of the ratings. Most rating approaches suffer from subjectivity of their construction, as the input information use the expert assessment. As a result , the reliability of the rating evaluation depends on the quality of selection of experts.The use of the complex methods of multivariate analysis led to clarifying the place of each region in the budgetary process of the Federation and allowed us to identify the group of leading actors who have balanced budgets and are leading to revenue for the Federal budget.

Keywords: Budget figure, differentiation of regions, the evaluation criterion, a rating of the region, the competence of the expert, the mathematical formalism of multidimensional method, the budget entity, growth rate, tax and non-tax revenue

This paper investigates the possibility of finding normative solutions in the process of mathematical modeling of systems of a heat supply (STS). Theorems are formulated and conditions for the reachability of the stationary and regulatory regimes of Autonomous and centralized heat supply systems. Formulated search order normative solutions STS.

Keywords: stationary regime, regulatory regime, system of linear ordinary differential equations, controlling the heat supply, equivalenting of systems of a heat supply, control of the source of thermal energy