The article examines a functional-dynamic model of implementing intelligent digital platforms and solutions, whose governing role in the development of a macroeconomic system is taken into account using a feedback mechanism. The relevance of the study is demonstrated in the context of active digital transformation of industries. The mathematical form of the model under consideration is a system of nonlinear differential equations of an evolutionary type, similar to dynamic models of the development of biological communities. An analysis of a macrosystem influenced by innovative technologies is carried out. As such a system, a two-sector macrostructure is considered, simulating the impact through the implementation and use of intelligent digital platforms (IDP) of two related industries, which are the transport and logistics and manufacturing sectors. The objective of the work is to study the stable states of such a structure. The model allows for taking into account the influence of investments in IDPs based on the principle of their proportionality to the growth rates of return on assets in these industries. In the work, quantitative estimates of the parameters of the original model are adjusted. An analysis of the macrosystem is carried out under conditions of different development rates of the interacting industries. The stability of the system according to Lyapunov is studied. An asymptotic approximation ‒ a solution to the problem ‒ was constructed using A.B. Vasil’eva's boundary layer decomposition method. The results describe the process of self-organization in a stable model of interaction between two related industries, supported by integrated digital platforms.

Keywords: functional-dynamic model, intelligent digital platforms, two-sector macrostructure, transport and logistics industry, production, sustainability, inter-industry interaction, asymptotic analysis, boundary layer function method

The implementation of market mechanisms in the transport and logistics system of the railway industry contributes to the development of competitive relations between market participants and stimulates the search for new ways to gain a competitive advantage. Technological outsourcing of industrial enterprises can strengthen the position of operator companies in the market and increase the efficiency of organizing the movement of car traffic on the railway network by redistributing responsibilities in the supply chain. Possible options for organizing interaction between operator companies and industrial enterprises and a model for organizing technological outsourcing are considered. The general structure is represented schematically in a graph formulation by bipartite graphs with various types of one-to-one, one-to-many relationships. Optimization mathematical models of the logistics of such interaction with different levels of generalization in nonlinear and combinatorial formulations are presented, adequately reflecting the practice of using technological outsourcing.

Keywords: Transport and logistics systems, technological outsourcing, operator activity, one-to-one, one-to-many interaction mechanism, linear integer programming

Agents of the transport and logistics market (TLM) in the implementation of their activities implement solutions aimed at maintaining and developing their position in the market through active interaction with counterparties (cooperation, diversification of capital and activities) in changing environmental conditions. The limited volume of transport services and changes in its structure require formalization and systematization of possible actions of agents. The paper provides an analysis of the factors influencing the activity of TLM agents, their formalization and schematic solutions for the implementation of their activities.

Keywords: transport and logistics market, activity, market agent, stability, formal model, efficiency indicator, profitability of services, logistics chain, volume of transport work, railway transport

Combined method which allows analyzing parameters of the nanoscale atomic and electronic structure of materials relying on three different methods (x-ray absorption spectroscopy (XAFS), x-ray diffraction (XRD) and Raman spectroscopy) was developed. The method was applied for the study of nickel oxide nanoparticles, which serve as an efficient catalyst for the artificial photosynthesis process. 

Keywords: solar energy, artificial photosynthesis, NiO, Raman, x-ray diffraction, XAFS