The Institute of Mathematics offers its customers services for the performance of Research in Nonlinear and Stochastic Analysis for application in various fields of science and production under an outsourcing agreement and/or subcontracting and is looking for partners interested in a distribution services agreement.

Fundamental research areas:

- Methods of convex, nonsmooth, and multivalued analysis and their application to optimization and control problems, including multicriteria optimization problems;
- Methods for approximate calculation of functional integrals over measures in linear spaces and manifolds and measures generated by various classes of random processes. Methods for approximating functionals and operators defined on random processes, including solutions to stochastic differential equations;
- Methods for calculating functional integrals arising in quantum physics problems;
- Methods for approximately finding the probability characteristics of systems of stochastic differential equations based on the use of functional integration;
- Approximation of functionals of solutions to stochastic differential equations and functional integrals used in the study of stochastic systems in physics;
- Development of optimal control methods under uncertainty;
- Methods for stabilizing dynamic systems under persistent disturbances;
- Development of optimal control methods under uncertainty;
- Development of methods for solving inverse problems of mathematical physics;
- Qualitative theory of differential equations. The center problem for the Liénard system of equations.

Applied research areas:

- Solving optimization problems, including multicriteria optimization;
- Functional identification of nonlinear parabolic heat equations;
- Reconstruction of sources of transport processes described by linear and nonlinear parabolic and hyperbolic heat equations;
- Study of conical optimization problems and semi-infinite programming problems.

The information is posted on the Institute of Mathematics website here. (in Russian)

At the Institute of Mathematics of the National Academy of Sciences of Belarus, a specialized department focuses on fundamental and applied research. This department develops methods of convex, nonsmooth, and multivalued analysis for optimization and control problems, including multicriteria optimization. Stochastic analysis is used to approximate functional integrals and probability characteristics of systems of stochastic differential equations.

Advantages of Nonlinear Analysis.
Nonlinear analysis allows for the solution of complex optimization problems, such as multicriteria optimization and conic optimization, ensuring efficient control of dynamic systems under disturbances. Nonsmooth analysis methods contribute to system stabilization and the solution of inverse problems in mathematical physics, including the identification of nonlinear heat equations. This offers advantages in applied areas such as the reconstruction of transport process sources.

Advantages of Stochastic Analysis.
Stochastic analysis provides approximations of functionals of solutions to stochastic equations, which is critical for modeling random processes in physics, quantum mechanics, and economics. Functional integration methods enable the calculation of probabilistic characteristics of systems under uncertainty, improving the accuracy of optimal control.

Applied Areas.
Analysis is used in optimization, economics, physics, and control problems, offering innovative solutions with highly qualified personnel. Advantages include the development of methods for uncertainty and stabilization, which outperform traditional linear models in terms of versatility. The institute offers nonlinear analysis and optimization services for science and industry.

Institute Activities.

The Institute of Mathematics includes thematic departments and laboratories:
1.Algebra. (in Russian)
2.Computational mathematics and mathematical modeling. (in Russian)
3.Differential equations. (in Russian)
4.Nonlinear and stochastic analysis. (in Russian)
5.Number Theory and Discrete Mathematics. (in Russian)
6.Functional Analysis and Dynamic Systems. (in Russian)

The Institute maintains active creative ties with leading scientific institutions in many countries (Germany, France, Belgium, Russia, Georgia, Ukraine, Greece, Italy, Poland, Austria, China, USA, Great Britain, Denmark, Switzerland, Czech Republic, Yugoslavia, Japan, Bulgaria), and organizes several international conferences, schools, and symposia.

The achievements of the institute’s scientists were recognized by the Lenin Prize (1978), the USSR State Prize (1970, 1972), the BSSR State Prizes (1974, 1978, 1982), the Republic of Belarus State Prize (1998, 2000, 2004), the USSR Council of Ministers Prize (1986), the Lenin Komsomol Prize (1970, 1987) and the Lenin Komsomol of Belarus (1976, 1984, 1990), and the National Academy of Sciences of Belarus Prizes (1993, 1995).

Consumers interested in purchasing services for the performance of Research in Nonlinear and Stochastic Analysis for application in various fields of science and industry under outsourcing agreement and/or subcontracting/

Partners interested in purchasing services for the performance of Research in Nonlinear and Stochastic Analysis for application in various fields of science and industry under a distribution services agreement.