In 55 years, RUDN University has given the world many famous names and important scientific discoveries. For over 15 years, the University has been in the top 10 best universities in Russia for research and innovation.
RUDN University is a recognized large scientific center, a generator of new ideas and developments.
In 2016 the University held a competition of projects with significant achievements in the priority research areas. Each winning project received funding amounting to 10 million rubles for the implementation of its development.
Establish a world-class Research Center for solving theoretical problems in probability theory and mathematical statistics, including the application of developed mathematical models to analyze telecommunications networks and systems
The project is devoted to the development of new qualitative and geometric methods for the study of boundary value problems for differential and functional differential equations, their application to the Vlasov equations (kinetics of high-temperature plasma), the Kato problem of the square root of the operator, mathematical biology and mathematical medicine.
To study linear elliptic differential-difference equations, symmetrized matrices corresponding to difference operators are used, while the skew-symmetric component does not violate the strong ellipticity of the linear operator and the smoothness properties of generalized solutions. Previously, the solvability criteria for nonlinear elliptic differential-difference equations were proposed, in which the difference operators are described by symmetric matrices. It was shown that, unlike the linear case for nonlinear problems, the skew-symmetric part affects ellipticity. In this project, we propose to use previously developed methods to study nonlinear elliptic problems with difference operators, which correspond to triangular matrices.