Stochastic differential equation involving Wiener process and fractional Brownian motion with Hurst index H>1/2H> 1/2

We consider a mixed stochastic differential equation driven by possibly dependent fractional Brownian motion and Brownian motion. Under mild regularity assumptions on the coefficients, it is proved that the equation has a unique solution

Thioether-Containing Zirconium(Alkoxy)Siloxanes: Synthesis and Study of Dielectric and Mechanical Properties of Silica-Filled Polydimethylsiloxane Compositions Cured by Them

A number of thioether-containing zirconium siloxanes, differing in their composition and metal atom shielding degree with a siloxy substituent, were synthesized and characterized. Synthesis of such compounds made it possible to evaluate the effect of sulfur atoms’ presence in the cured compositions on their dielectric properties, as well as to evaluate their curing ability and influence on mechanical characteristics compared to the sulfur-free analogs obtained earlier. Studying a wide range of compositions differing in their content and ratio of metallosiloxane and silica components revealed that such systems are still typical dielectrics. At the same time, the introduction of thioether groups can provide increased dielectric constant and conductivity in comparison with previously obtained sulfur-free similar compositions in the 2 Hz frequency range (dielectric constant up to ~10–30 at frequency range 1–10 Hz). As before, the dielectric parameters increase is directly determined by the silica component proportion in the cured material. It is also shown that varying sulfur-containing zirconium siloxanes structure and functionality and its combination with previously obtained sulfur–free analogs, along with varying the functionality and rubber chain length, can be an effective tool for changing the dielectric and mechanical material parameters in a wide range (tensile strength 0.5–7 Mpa, elastic deformation 2–300%), which determine the prospects for the use of such cured systems as dielectric elastomers for various purposes

PROBLEMS AND PROSPECTS OF DEVELOPMENT OF THE ROAD TRANSPORT COMPLEX: FINANCING, MANAGEMENT, INNOVATION, QUALITY, SAFETY – INTEGRATED APPROACH

The monograph focuses on the problems and prospects of development of the road transport complex on the basis of the integrated approach. In Ukraine, the road transport system is one of the priority ones. However, its priority status is reflected only in numerous regulations. In such conditions the necessity of realization of scientific achievements and practical recommendations of development of the road transport system as a whole is actualized. The integrated approach to financing, management, innovation, quality and security has been applied. In order to eliminate the regional imbalance in the development of the state, as an urgent measure, methodological principles of support for weak regions have been substantiated and developed, which envisages its implementation in the short term. It is proposed to determine the rating of the best educational institutions in the region on the basis of mathematical modeling. Relevant clusters of educational institutions of the region have been established and systematized, taking into account their sectoral significance, form of ownership, efficiency of state funding and the amount of own revenues. Methodological support for quality management of transport and logistics services has been developed, which includes a certain procedure and a set of appropriate methods for implementing this activity based on the application of the scenario approach and algorithmization of procedures for obtaining possible states of operation of modern transport and logistics sector objects. A set of functional subsystems of an enterprise by analogy with the systems of a living organism, the activity of which is interdependent, which ensures the stability of the «living organism» of the enterprise to the influence of external conditions has been formed. The process of determining and assessing the competencies of employees on the basis of the modern assessment technology «Assessment Center» has been formed. The program of development of corporate social responsibility at internal and external levels of implementation taking into account features of various groups of stakeholders is offered. The combined safety management system «behavior + transport status + infrastructure + permanent monitoring + post-accident services» is offered. The proposed theoretical, methodological and applied aspects of the development of the road transport system are of theoretical and practical interest to scientists, entrepreneurs and government agencies