RUDN
Chat
RUDN
ENG
RUS ENG FR ESP CN AR
Research and Innovation
Research Projects
List

All research projects

Clear filter
Mathematics and Telecommunications Differential Equations
Functional-analytical methods for the study of boundary value problems for differential and functional differential equations with partial derivatives

Project leader

Vitalii Volpert

The main idea of the project: research of new classes of differential and functional-differential equations, inequalities and systems and the application of the obtained results to interdisciplinary research in mathematical models of physical and biological processes.

Department

S.M. Nikol’skii Mathematical Institute

Tags

reaction-diffusion equations Vlasov equation Liouville equation difference schemes identification problems for mixed partial differential equations elliptic functional differential equation nonlocal terms quasilinear equations differential-difference equations nonlocal elliptic operators Fredholm property index absolutely continuous spectrum singular spectrum scattering matrix trace formulas
Mathematics and Telecommunications Differential Equations The project is completed
Linear and nonlinear differential and functional-differential equations and their applications

Project leader

Andrey Shishkov

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.

Department

S.M. Nikol’skii Mathematical Institute

Tags

boundary value problems nonlocal problems differential equations functional-differential equations Vlasov-Poisson equations high-temperature plasma hysteresis mathematical medicine dynamical systems mathematical biology mathematical modeling partial differential equations